{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 708,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": [
    "#*********************@Author: Aniruddh Khera*********************\n",
    "# About the data: S&P500 companies stock prices from 2010-2016\n",
    "# Here I analyzed for GOOGLE, we can do it for other, by automating the prcoess using grid search on best t-stats value\n",
    "# Since ARIMA is for univariate TS, hence I forecasted value based on the diff of close price\n",
    "# Not promising results as expected\n",
    "%matplotlib inline\n",
    "import numpy as np\n",
    "import pandas as pd\n",
    "import matplotlib.pyplot as plt\n",
    "import seaborn as sb  \n",
    "from statsmodels.tsa.stattools import adfuller\n",
    "from statsmodels.tsa.stattools import acf, pacf  \n",
    "from statsmodels.graphics.tsaplots import plot_acf, plot_pacf\n",
    "from statsmodels.tsa.arima_model import ARIMA\n",
    "import warnings\n",
    "warnings.filterwarnings('ignore')\n",
    "df = pd.read_csv(\"prices-split-adjusted.csv\")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 709,
   "metadata": {
    "collapsed": false,
    "scrolled": false
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.text.Text at 0x7f9aa80a6cc0>"
      ]
     },
     "execution_count": 709,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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ercaMGUPXlH8CRo4cyciRIzP+DCIiIiKSH0J2qFUjphPGjoVrronOL7gAjjgC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\nV0MAAAAASUVORK5CYII=\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7f9aa7f6d9b0>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "#**********************EXPLORATORY ANALYSIS**********************\n",
    "#select google\n",
    "goog = df[df.symbol == 'GOOG']\n",
    "goog.date = goog.date.convert_objects(convert_dates='coerce')\n",
    "goog = goog.sort_index(by=\"date\")\n",
    "goog = goog.set_index(\"date\")\n",
    "goog['close'].plot(figsize=(10,5), title=\"GOOGLE\").set_ylabel(\"Close\")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 710,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": [
    "# Split data into training & testing\n",
    "goog_train = goog[goog.index<'2016-12-15']\n",
    "goog_test = goog[goog.index>='2016-12-15']"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 711,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.text.Text at 0x7f9aa7fd8e10>"
      ]
     },
     "execution_count": 711,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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xzAa436tEwQhwwQXA7rsDc+fWuySlYVfi3hxDXCvSPFKffkrBSupPkYTUSScB\nO+9c71KURr1DJKsZrlStfaT23Rc4/fTKHrORkLGhVoKq2mvcXE+O2xbefReYOTP9OC+8AGy8MbBi\nRfQ9+1rFZcRLG1fd673dduZRzid7P91yC7DuumbtsfDoo8AWWwCTJiWfI4299iotoUYaco/LsS1e\neskIykp6EJMQIbV0KfDcc8HrdQ/t62FrAA8nvP8IgApEURIAePNN8ygqutGwGwyFVPmkCalBg4Az\nzqhdeQjxIe2eor4y1Oo6uv1KNTOSlZJs4tNP0zM0PvLIyp0cR8RvrYRUtfeRcu93qRvy3nMPMGOG\nEV4u91qr/93JgzSPVNz3XOQ6vfWWebSzKs6aZR5nz04+RhqPPw5ce215x/BRidC+M84wIY6ffFJb\nIXXMMcAOOwSvF0VIrQEgySTuBLBa6cUhNnLTW1rqW45SoUeqsmRZIzVhQm3KQkgcRfBE9QZqGdp3\n//1mXc28ebU5fylrpH74Q2MYkXjyCqkPPzReknKpVpuX/aPynieuXvlsqW98I/g/TkiltYE4IeWW\nt60t2/GKRCU8UvZWCrUUUq4TIquQWro0ny2VV0i9B2DLhPe3AjAv4X2Sg2rGqNcCuxPpzVltakUj\nJJvo7gYOOyxYhEtWPooU2tcbqMV1lLAie/1GNT2LpayReuON2u+P1GjI2JB1vD3mGPNX6vhc7fDT\nUoVU3OfTknBUyyMl5BVSRVhDWIk1UrbAr6WQcsmabOIHPwAOPjj7HoV5TfSHAFyolOrnvqGU6g/g\nZwAeyHlMEoNUvkY1SOiRqiyNIKTefx+4885gcS1Z+aCQqgxy/d57D/j61+t3/moKqTyThPPmVdcI\nu/deYMqU6h2/FojNkNWwl7U7pY4p1R6Lyg3tc9HaJJ+JO04eIWW/lvU6NKJHqhLhm3a9rIeQkrJn\nSTYxdSrw29+a/7ParXmF1EUAhgN4Qyl1plLqoJ6/swC83vPez3Mek8RQrVSNtYJCqrI0gpCSDrNR\nw1FJ+XCNVOW5++7qHt9nLNVijVSeGfdqC6mvfjXIwtaoSP+bZbx95pkgu5xPeHV0pK/PlrpRNI9U\nnPH/2GMm+czf/ub/Xp7Qvptvjv9eXHlKEVL1TjrjC+275x7goouinz3zTH+brrVHyp2gkXNmCe2T\nRCFA9gmJXEJKa70AwC4AXgbwCwD39Pxd3PParj2fIRVAbnqjzuxSSFWWWgqp558v7Xu13seEFA8K\nqMpQ7341fipOAAAgAElEQVS/nqF9ixYBJ5wQZG1btgxYsqTx6taSJcDAgSZrXC2QsSHLeLvrrtHv\n2YwaZRIYxfHrXwNHH52vfHmptEdK1gC+957//TweqY8+Cv6PG5Pd8koWvzy/I0t44Z13+l//73+B\n/v2zh6j58AmpQw4Bfvzj6GdtcWljZ5OsVBv+17/ir6Pbr+QRUjZZE73lXn2jtZ6ttd4fwAgAOwLY\nCcAIrfX+WusMiShJVqRRN9rgIVBIVRbpHKotpNrbgdGjS/uu3GcKqWSWLwc22cQMdEVg/vzKZQet\n9wxqb2Xy5CDDV6WYNg343vf8++6MG2f+r8b4Yy8+F+ywuiuvBH73uyBNtBjAjTYWvvyyEYGVSOiQ\nBbk+edc8+T7/1lvJfcKNN0bPW2kqvUYqLexYrsPf/25EcJKIsY+RNiYneaTSQufk9aR7et11/tdv\nvdWIt5dfTi5fEnlC+2SvSxc7tM8+zsSJJptiXiZOBD7/eeABZyHRFlsAm24a/bwrpLLW16oJKUFr\nvUhr/ZzW+j9aay4BrQKNHtrH9OfVIanTtjupX/zC7EWWF3d39zxQSGVj9myzvcHVV9e7JIbPfAY4\n8cTKHItrpCqDe/122glYf/3g+axZwFprAQsXln6OJ54wBrE7g1vK+o8knnrKiDZBDEqZ7X7oIRNW\n93DP5iriMRgxwjzKXopxY+EmmwA33ZStLLUcT+sV6px3vC3lHtvXsZTvf/JJUA/icIVU1nsX1/dk\nyb7X1QXsvz9w/PHh791+O3DggfnKkiVrX9Z9QpOEVN++/tdlHM4jrB9/HPja14LnebL22UJq2jTj\nsezsjA/t+9KXjOczL9I/yBo/Yfp0k5SmUh4p375jPho0H9zKQaMLKXqkKkvW2THhRz8CfvrT/Odx\nN0HMg8zgZDUcfvMbk4J3ZUMGuCK0C6k7Tz5ZmePZQur++82gFrfRJSmdv/zFGGFPP136MZYvD9dB\nnzcx7/jT0WE8SfYx9tgDGDMmeC79hBhpsr+PGEjyKOdO80i9+abJtJWFWmaQffRR81jriaVaCCn7\nO6Vc08GDgd13T/5MqaF9cV7xLB4p+V3vvRcec486yvRn7rGylMNNx21/N22Mdj1SvgQtlRJSzz9v\nNva115Dlydpnl238eOMRu/325DVSpdQduUdxHrA4IZUl2YRN1T1SpPowax/xkVVIlUo5HimZccti\nOCxaBJx8cjALvTIhA06edvHss/Ex6OUgg0XcYAyYePQ99shWz+y1NePHm//L8ZpkwVeuRp2AEmrR\n70tbdw3McoTUhAnAF74Q3ujUReqca/DIcxFSnZ1GhD/1VLgsTzwRXeeStZy1ElJtbcGC/HI8UhMn\nmuuSpQ3J9XP7lY6O5HUypVwT+3qXek3/85/k9ysd2ifE1RVbSNnf932+Uh6ptOO5QsonHuy+2y5/\nXiHlhvTff7/p9+1yJCFl6+oC1lnH/H/55ZXJ2jdvHrDNNsCFF6YLqXKSTdikeUz/d75sHyP1oBE8\nUttuG++a5T5SlSWvR6pUyhFSYiBlEVKyWLdSa3OqQWcncOyx2cMv0li61OzyvnRpcHybww4D7rrL\n/91ddgGOO64y5bCR+93aGv+Z73/fGLNZ+iL7M5XYzDELnZ3GMyNZyICgnfSGffgq8Tkfcu9dw9sN\n25o61RjiWe6jGOxJhr+cL279hS2kvvENk9jALteee5o1EjZZr0PaWDSzjJXeb7wBvP66+d++pi0t\n5vWXXsp/zIceMo951pK49/Ooo4Bhw+I/b48p7e3ZogTSPFK33FK+J9oNrSrXI5VWHltIaV3+mHvt\nteHnYpj7vpt1rypff2YLCjuixBY2wtKlwfiTxmWXBf/n8Uh1dATnnDu3/Kx9ixaZ0N0XXwR+8pOg\njU6Z4o+kyBPaN29e/PWgkOoF1DLZxBtvlCZ2XnghfvNVeqQqSyMIKel43NhlHyKkilw3XnkF+MMf\nzCxYJZgyxczQSRYv97dPmhReS1IL5H4neaTkvmbpI2wjJquQ+vGPTVriUmlrM8e4/HLzfNGiaPhY\nNZg1q7R+89ZbzWBfTlurxGadYnS5v8G+X/PmmZTAw4YBm2+efsykmXP3+K6Qkucixjo7wx5ru1yz\nZ4ePmfVapt2vDTYobQE8YBa6b7ZZ9DzNzeb1rbbKf8z+/c3jAQdkX/Nq9yvd3fHpvgW7rEceGaxN\nSyJpDfTs2Waj33POST9OEu4kW7mTCyIMsoT2aZ28BUAWu0ySQIwfD3zrW4Ew9H3XPYdkVXT3QPJN\nUtp9nC0KfB6pVVcFRo5MLzsQ9qRecUW6wJY2b1/H5cvLy9q3eLFZC/rEE8Frck2uuw744hej34nb\nR8rnnBg50kzM+GBoXx1RKhjQy6FaHqnu7nCjXbbMDAClrKdx0dokOfj44/oJqU8/rdw1W7asOKGV\nWYRUJcpaCSH117+m34NGEFKlpnN/5RV/2Ipc2w8+CB9f+PTT7LNgQrn3vFQh9eqr/mxkdphY1pT9\nF11kNsoslfZ2M2D/5S/AjjsCw4cHm0InGfTl0Nlpkj+ce27+7/71r+bxk0/iP/Ozn5VWrjzIvXf3\nA7Lr1IsvBv+LtyWJLCHpbn2whZTthXC9Q6X069tsE55ZzyJ8KxGKavdr5WxQPmCAeVy4MH2M9oX2\ndXWli277ftx3X7ZyJYX2SX+xZEm2Y8XR1hb2lOft69LC5Vzc0L6kLQDy7gX1pz8lCyn3Gq62Wris\nci19KeltIWVnv7SF1H33mex9bW3Z74sbkprW/qWv/ctfwkJK6mMpoX1z5phjyDpJIL0e5F0jFRdi\nSo9Unbn++vKP4dtHqqvLzLy6DaGtDXjwwWzH3XXXcOcklasSM+HTp5skB+eemy89aKXo6DAdzVVX\nlX8s2QMkazaoSjNrVljUNIJHyp7BSQuHq6eQeu45I/jTkLLlNca33NIY9C4yW+gTUrIBZlrn/dhj\nZg0KYGbrmpqAO+7IVz6bLKF9PiE1ZoyZdXaxjY9S1oKVQlubGWy1DgZFCYmKMyIvu8ys5ykVuRal\nCMAsG9JmNeaztP033zSpgt01J3LvkzxSeZPPZImkiFv0r1S435gzJ75cSTz1VNC/vPii2SjULV8S\nlfBiVqrOi5DKgtQn+zdmGXvtz2T1dMYJqTPOCNLWS7/Z3W3slkWe/M7vvgtcfLG/Hre3Bx45IL9H\nqhwhVa5HyncOaUu+77pbG0gdlONI2x08OPrdfv2C/7/ylSDiwRZSBx0EfO5zweeUMinuk3CFVNz+\nW4Lc7+OOi4YTAqV5pCS6xbYt8h4j6xop957RI1VnsnReU6fGb6QG+AekZ581s7e//GX4s+efbxqQ\nb5+RSZOAG24IH8M+ZlqnE4dtcEvDld/d3l5+etRSkHCPyZPLP9b775vHSmUzy8v//V94JrNeQirP\nsW0RkLbWoJ5CapddjOBPQ9pgWxuwoAJbjbseKfu3y2CTlnL11FMDQ0Xq+2OPlV+mJCElZbINJjEK\n7L4F8K+RcgekRx6JDwkuhfb26HWTaxtnFJ95JnDwweb/e+817c3Hww8HwrW729Sb998P2mG91rC6\nBu+UKcCf/+z/7Oabm9CwoUPDmcfc0D6fwMmaAljwZSZziUtu4XqkXI+d75i+/mmPPYJ762LX4fvu\n83t5ksar9nbg7bdN2d5+O37io1LrgvMIKcHuVzo7g7rihkPanwFM6FbWWXifkOrqMtE4kjpczvvS\nS8Zu8W3i+u1vm4lXXz1rbw+LhEp5pOLsgziPlFsffvzj9Mly37iWJKSuuSb83G3fSUJqww3Dz2Uy\nwrdGymb6dP/rgiuk0iZH7QlH+zdKO66UkMprM2QVUu6kUZrQFCikKkweUbLddmZxeRw+IeVzNf/z\nn8EsrG/R3D77ACedZHL6/+Qn0fdLDSG0Dcttt42+n8cjFRcKlReJbbf3WykVaVT2jFgtWbDAeBrc\nUJmk2bFyFkoLrpByz9fRYf4WLjTGme0dtQfhtPCBPELqk0/8s5mlktXIkc/dcAOw5prlnzfJIyUL\nodMMGTtcTq5J0kLyrGVqbTV17N5747NN+ereSSeFn9tGspv2V9h3X9P/xR0zLxLaZ5O0ONtlypR4\nz9J3vxsI17feMp7MM8/Ml1W1pSUcXiZUUoTttJNZ3+Irj13P7PWLrkeqrQ0466yw58o1cNM8ZVmE\nVFxoHxDuD9w+JE+IVZwRZF+Lgw7yrztK8sKdfroxXAcPNo/f+Y7/c0n92ltvhROj+PjwQ3Mf7PEn\nTVT5Qvvs3yuJodw6Ivcjz9owX7IJSWMvSNuLyyYIJKekbmsLhxyXm2xCuPvu6GtKRT1SvskSrY0o\nTBvffN4MqVdZfofrkZJ1gz4h5V47KW9a1r5HHkneCNgNac8jpHz3s5TQPumv7HExzVMUdz2ShNS9\n90YdG0mODhsKqQpTyVlKn8CxK/1ll5kZsd12M5uo2ef3ceut/kXzpaZZdxMKLFsWnkXJk0JXQqFm\nzAiMzFKQgSDrYsokxMgoV0i99Rbw3//m+47WRjx88EFwb7N6pNzr96c/BWGb776bfp9dISX18Oyz\nTceywQbG6N5nHxMuZMfU2x1cWohgmpD68EPzGa3N4GHvQ5PETjtVRvQAlc826fNI7bCDWQwuQirN\nAyCDlZ1da/jw8svUt68px1e/Gk1dXW6yCd9sojxm3Uds3jxz/h/9KDoD29YWvW5ZhdSSJaaexf02\nOyGCHeqZJxlQZ6ffu+w75w035F+k39ER1Iv33zeRCUoZr5/bX9jndLP2PfAAcOmlQZY8ICoq3JDY\njz4Cfv7z6KL4pLFI3nvhBdNe7Sx+dl3J4pHKK8Sz1OEkIWWvQQHivRtJQmqjjYKJBJfubhMFMWKE\nSSFtjz9x7XzePHPtRPC7a6SkDcjvimsrea6lzyMlk6sDB5pHOW+aZ8Qts9DeXh0hBZhNnO1ztrZm\n80hlndBLElJ5MuBpbaKKZGKgf38zeW6H6dlh1HZ55brH1cXrrjNbW/jo7s7vkfKVwaarq3Q70xZS\nvt9jt2v3+rpCynf9v/pV4x0thRpvE9f7KaVDisO3Rkr+nzsXuOQSs9bDphQBV2p2QFdIffihv6xA\n9uux8cYm/KRU74MIqUqEuskgXq6Q2mgj85inTCIgADN7bz+/4ALjvfv734PPJyX2+Na3gFVWMW78\nddc1exEde2z8uX1Cqn9/U99sJJzTFm52Z7d8OXDPPea1ww/3/0ZfeQXJHCXrWLJ62yoR1imUG3Zo\ne2WAwPsjs/qdncYb+8ILwHrrmdfSPFLSTtvagmvvm6XMii2kpE1L3V+wADjkkPi1NEnl6+wMBtaF\nC4Gvf92sN5S2LfuMZFkL1N1tsp7deGNgyF9xRfB+OR6pl14yddF3r//978CA6ewMJx9xEzTE4fPQ\nuJMiy5YZD8Vuu0U9fHHYAs8Oy/zoo6Ct3HZbNE14Z6f5zTNnRpNNyH23DSi373afn3ee2Vj74IOB\nLbbIF9onE3uSeUup8H2w9z763vfMpI19vQ8/3GTV9JG0DsbFNXrtuiSi8uSTzaPb1uLWFJU6CfOr\nX5ntBgBzP+zjx/VHEtLvTlJIOdwyum1F7mmeMseF9gGBUJO2l5S9M2lSIUlIZUmYkFQH33wzGIOA\nYHJE9iyz10jZx9lrr/TzAn4hlZS8wsW+Z/vsE/zf1mb6CZuuLrM2XDzJbuhs0pgSN2kwcWI0VDhN\nSNl9Q5yQqkRo3+9/H/2cPTkQ55HKuyFvVuiRqjCVTFnuO5Y0jJdfNo9rrx3+TrWE1KxZUXe4K6Rs\ng1qp0pNNJG0c6DJ5ctj9KkLKPt8BB5iQl7xIR12P0D43/ey4ceHr6W5im7Zn16BBwf2ZOtWkY/3N\nb/znfuON8PM0MSFryYCokDrkEGDsWP/3sob2PfKIefQlb6gW3/ymEZxJA9CsWeFQmK99Lfpb3Zlf\nn0eqo8NMQvg8UpJxyzYW5f62twczwL62295uvusbdADz3m9/G14j5abYHT8+PGNZqpC6807Tf/z5\nz4HRt+665jGLB3rx4sBzJJx+evC/JJuwSVsjJeLjxReNuOvsjBrf9mRFW1tYSGX15Psy87lC6tRT\ngd13z5+x0Xf+5cvNxAlgJk/ciZHOTpOG+6CDomukROgnZXBMM1LyCCn3N7hCyr7fw4ZFM87a2cFc\ntPYbs9/8ZvQ19/fadel3vwuvK/MJqWXLTEikTamTMO46Jvv+LlgA/OAH0e+4Y5Rdj3zXx1cn7Mcs\nJAkpeVy40Ih2aYOLFoXDYoFoamqbpNA+93rbZF1iYYeiSZs++ujgGD6PlEwgppEUfpZHSLnte9Kk\n6GdFSLnHl3Lb7chFroEbevzlL0c/myak7N/si6woJbRPsvWl9Y12m40LHbZD+yqx/EOgkMrIGWek\nu/3uuiuIl652aJ9UKncAKEVpZxFSe+5pZpRtXCG1cGH5Hqm87LRTeJ2ZT0g98ED8IuwkxACyF7vW\nGjFoV6yIdqi+jH6AfzBcf/3wrOARRwQzrDb332+Ma5s0g8A2hCsZ2ifEbV57661GfCxcWPmEFbfd\nZjIPJXXe669vPKjC3/4WzZ7nzprKb5HJgo4O87sWLvSvkZJra2/SK9dhzpxg9tT3+2V20g3TA4K2\n/otfBPdJ62Dws1+zySOk7JAiob098JasvbYRaXvskX5M8WLF9SNLl0b7rzSPlPy2hQuDuuj+Ptto\nam8PrnNLS/Yw7qQU53IM8XqVUo/d89vphqdPjxp0vtA+eU3qYJKQcs8n3is5Z57QPpdHHglfAzvs\ns6nJnNu9R0lCyucJz5KdVoyyri4THmm3SZ/3969/NSGRwi23RKNFhLT6EicyxQvhy0jrGtf2xrO7\n7hqdZIhbB5s2Tj//vP+zcZE4d91lRLuIgqefNga7HV2QJKSSPFK+CdcpU8y4llVI2X1Dnz7+jall\n7VQa7m8vV0i5a6SS6O4O2ykrVoQ3xfUl+RCam8057MyWcbhCyv0d9m92M4QC8R6ppOshdmbadbCF\nW1poX5YtAfJAIZWRyy8H/vjH4PmSJeGKsmSJ2YH99tvNc/tGzpxZ2gZ/SZ1B3Gxr1nSNvmMlVVTf\njIY7k7xwoT++2P0/C3/9q/EIHHhgsKldGl1dZs2Y/L/lltHshvYCUpvrrjMztDbl7oERh9bxXreH\nHgon8Rg61DxKIgAbuf6HHRZet+Dr9NdZJ36Gy8beM0ZI2w0+KbTP5qOPTDnl/GIcpxmP7joOwMxS\nHX20CT9YbTXg//2/6Pf69TNiqL0d2Hrr5JnEmTON4HZxZ9Wyhg1Ku5w/P7pnm41crziPlAxcq68e\nvCb3d7vtgvVzvnuelCxFyjR/flioynd8g2DceVx8QspebC4eqZaW8KyyeFF8xAkdwVdeuY6+PcC6\nu8ODqtTFrEKquTkQzW57Gj8+bMDbQuqGG8IJgdzzZe2/7Zld9xi2kHr99Wj78gkpqQ9SB5OMDLkO\nv/yl8WrHCak8HinhllvC16BcIeWbRMiC1J233zb/v/56UAfXWiv8WaWAIUPCrx1zDHDiicnHjiPO\nCDzwwPjvnHFG+LndZ/tCon1C6q234jMdAqbPHT06GFOTPFIu8lkZU+1rUKpHytcXHHZYONIiT4ry\n5uZwdIt4pJSKRmn4cMufRUgllS9PCn530uqoo8waqix21+67mz4rC0uWhOuWHd6sVLiu+WycG27w\n15GkNuFO2MeR5JHyCalKbtROIWUhHqdly8w6lCSj4aSTwh2lGzpmV+ANNgjPXOfF5+WRsrkDXh4h\n5brz4+KXt9giGnsLRA3lhQv9Lnsgv0fq0EONEXz//SY2XjjuuGAhq8ucOeGG8sor0UXbu+0GfOYz\n0e9K/L2NdPpZZom7uoyQfvXV9M9ecokJU/Hdqy9/Gdh//+C5CCnfDLGsLbnzzrCQSqsDvvs8aZK5\nx777lFZ3swqpM880iQLeesvUjbweKftzIjDkt/pEUFubEeNz5phkH/aMscsee5gQUN8xbL7xDfOY\n5GUAgjq6zTZhI8c1YOQaffhh8Dvb2sxvPeOMYACXzRkBf7/U0WGuiT0g+YRUezvwzjvhtQy2V0Ku\ncVy4nZw7aeDzhfbJdWxvD4SUOyuYNOinCanjjov/rh2+c/DBZrLLvq+dneG6+Oijxgtx++3mWgn2\nHl/NzcEMriukjjjChJwJdl056SRT1+ISx2QN7VtllUCEutdk2bJwH+DuxeRLYS/3XTycSeW46SYj\nHM45x8z+20JqzpzgWlYia59tjJUipEqddZYyvPKKeZw714yDvnahVL6JQp+IsInzSCVtT+CSNPnV\n0RG9v52dxmvhiyJ47TUTvi31WPokn0cq7jq4hqw9NuRdI7VokbkWtpdekInUpMRMvnIB0QmXKVP8\nnu443HE3aRxO+s2C1N0s5+/qiu51+Prr2e2urOsygbBXKmk8WLw4arfcf380zTsQH73S1pYclig8\n+CBwwgnB8yzJJiikqoRkVrvmGrO3xBNPxH/2zTfDi6RdN34e4ZA2y+sL7StFSG25ZTjz2W23hY/l\n69Q7OsJ7DRx9dPC5JCHlZoerVGjfzTf7G92ECeHN4uLO98wzZjDM4i6XgaOjw4gqey2Qy4cfmo59\n3Lj040pHErfI0xZjMtP58svRfXfijN32dn/66rj7/MEHZjHreedFjS7BlyJYsK9LXGjfokXB73ru\nOdOJiefNzTB15ZXhjtkWUh0d5r5IZ55F5IpATuo45Vq6BoY7QEhbPP/8+GN1dITFvn3f3O0J5Ph2\naN+KFcagvfxys1ElEF787/vNHR1mplwmgw4+OFgkb4d8HHOMSWrh85LZyRSkzHGhfUnrGO0+Sq75\nPfcE5YwTUkl9RJzHSEgqj20g/eMfxjh2M0DJ95ctM/tJjRplZnVt7MyA9jGTDJ2HHwa+9KXwa1Om\nxBt6WSfCXCFoY3ukgOjYZH9ePuceI896BDHwOzrMujdZS5t0P5Oy8cW1aZ+QGjQoWUilhXXG4Qop\nwMyMX3999Fop5d92JA772vl+a5zItIWUz6tokySk3nsvmswpKZvaqFEmPE/ukc/AT9ufx00o4wtL\nj+vX7N+ttVmLmtbvZxVSdtKGvJuuu5TikUr6Hb7NlZOO56vrWe2uPNE3tpByPdk2PiEFmElbmSAW\n4oRUks1l85WvBJNAdrkEX7IJhvZVEZnxAJLjxOfNCw82rmrOIxzSjG/bEJNGZaeLtUlqvJtsEi6z\nGLbijo1bsG5z++2mwfbtG551BcJC6u9/DyenqNYaKeHkk8ONMa3zkQWMSdgeqc99DlhjDfP8+utN\n1ry77w48dXKdJk5MD//yZaEBgmtkD7QSj+/b4yYu25k9cy6IlwOI3mcJRx082AhVH75NK4U4j5Qd\nVjN6dJC0wN3I0B5M/vY34Ic/DES+ffzOThMyNXhwcP/EsE0yjGRx9uzZ/oW6QCB85s4NH8u9jnLt\n3FAyEQqAWbdnC6mRI00nv9Za0QHL9kjJYPTxx0G7toWcGBS+QUeOc8cdxqibMAG49lrzmu2RktAV\nn5Dq6graTVwosnwvSbjYHin3vqxYEe5vsgqpNI9UErbh9/HH5jxu3y3lTDJA7U1/bSGVVPeOOCJb\nsgn7HHnxCSn7OO4EjF1X446RZxNeN7RPyOJh9J0/LmzdJ6TWXLO0sSXtOvuEFGDalns+STaRFbuO\nSbu1X4ubTbcFhS3cfKI3qR6vvz6w337h19KSACxYELU53NC+zk7gZz/zf98NS/SVL05U2gJH68Dr\nlIW0/uL114P/yxVSeTxScWG5NlL/s67P8pW/GnaXbTv5hJTYSc89F9+PSCZjYflyc2+feircn2YN\n63ORTL8C10jVmE8+CSqFb22BxM2++67J5S8GR5ZBJC4P/nXXhWf8X3017P487rhgDxPpAONikn2N\nd+edjQG64Ybh96VDknClyZONEdjdbfY8mTcvvjPwvf7BB+Hy/PWvwf+uV23q1GQDJC1Tnvu7P/gg\nGJRWWSW+A5H49vHjjdGehBi9l1wShPj87GfAKaeY2eqvfz1Ym2OLHznur34VDRe0r5t7DX0DYlKi\niySPlG8tjtQ5O4vbkiVmc0EgvA4nD0uWBNfb/g325ozihQCMV9DGbgtSJ+0NZqXj7ugIrq3MiqWt\n37L55z/DaWRtxEhZuDDc+cdtCOoOEKecEvw/bVp4M9DOTuDqq02ZZ8wIG0RSb5YvD+7nggXB4mD7\nPCKqfbOH9iyhm6XPbktSftdbKOWUexE3ExjnkfrNb6JrOm1hJrz0UlAv8nikyhFSs2YZr/onnwRr\nJO16ak8euJ4FewNUe4LC9hDGGaC2hy8Oyb5qnyMvPiElCWOam6O/6aWX0o+RR0jZ6fh9r/tw9w6z\n+wC5Bu4Y0NTkr1NJXpC4MiTtE2WXxxVSvvPn9UjZbWvZMuOhHDTI7B0FZAvts/s9nwDJ2i/utJN5\nzLK/j9xfXyrzzk5jvD77rP+77sSTfb3kvK+95veUuUIqaYLbPWYWISFjzbbb+t/PanCX4pHKEtpX\nNCHlW+Np12k7GUvcNXDXw553nvHe77FHMAH7/e+bPRaB+OUccbjroSmkSkQp9V2l1Eyl1HKl1L+V\nUttn+d68eUEn5KuE48aFB4Hzz/dXlrjMaeefbxq5ve4HMDP+0vh33z3YR0Job/fHpmaJse/oMJW7\ntTX8/ksvRXd/nzzZzBhfcomJwU8L8bA3CHTXSNmd+amnmt8+Y4bpbLfbLt77AYQHUdlfx8Y1Jjs6\nAuNwlVX81//uu4Pwv9NPNyECcUyZEnhqbCSkS+7VjBkmPMAWvlIfTj01msDC3pjXrjevv+6f1Uxq\n7E895fcctLVFB3Z7obzNCy8E9dm+Zq2t/t3f45B6ZP8md1G2j+HDTbm6u801l/h7u1751lJJW/jT\nn8zjxx+b3513/7C2tnBK5aVLw6mORWQKcnzX0Eza96yzM0hn/9578ZsF22mPxSCxDT53QbvNrbcG\n/wYSAYIAACAASURBVLtGqm9SwvaS+PZJkracNbTv5JOjnm2fkHjoIfO4ww7Goy3GI2DOZZ/PvqZp\nWfvSePzxsGCMMzTddmOHQtseKdtoiTPWt9023Qg65pjw81LSn7vn+PTT4LoOGJC+ng8ofa0WELTL\nPELK9Uj5Nmz2CSnXI2VnJvORJKTcsc9GymCHiwMmY56dDAgwfWiWayzY3+/oCEJwv/GNoC+0ueUW\n81gNISWJGX73u/TPSl/U1GT6InevqjybztvlkzZ/5JFhT9nRR5tr4Xp/3U1iffjSlsexzjpmIiwu\n2U1Wg3uLLcLPa+mRigvtq0T2aJu+ff37NYkgB5LHKcGdIL7rrmAiUSZOxaYaODCbLZGEL/15JfYa\nFXqlkFJKHQbgCgA/BbAtgBcBTFRKjUj8IkzIlhgEMjDYA/o11wT72gDmZogBZO/v4KvA8+YZj8Yr\nr5iNJV3a2szsqS9ka8WKsEs1bt+HOCHV0mI6YttYe/31qItVzgWY77h7C7hsuGHw/wcfxDf69nbz\n208+Ofh9vnA1wR5EpSN1FyH70v4CpkP0zTjGrWuxEzUIadmeZCBYvNh4OuxwtaQO1F6vIPdq3jyz\n2ahbjrS9ryZM8CeCSPNI2djr3+x717eviY3Pyn/+E5xHsGfz4xg50pTrvPOA7bcPMmO6ndzw4eFZ\nL2kL9uD9zjv5My3262cmDKS+PPVUOJ2+S3e3+Ywb4798efymuLaQAoLQBxd3/xggaIsXX5x9PzP3\n3sv37H7FNvzsxeP2OrovfCG8VxMQvO8TjuJdsb1evr3KVl893iNw1FEmicPUqeae/+UvZnLHJ/bz\nMGtWIP66uuJDE10hZe81Yq+Ritvmwebll+MNubi1EZXwSNn3prU1PgNj0jHciQJ3v0Lfd91rJ7/d\nN4a4ZXKFVHNz1GB2hdQXvhBsH5CXs87yj312GQC/Z85eiyEkiQg3SYQtpNragj3iFi40++6511Ha\np09I/e1v/rDrrEJKjN4HH8yeXrqpKdrPdnZGvXc27lji80gB5rd++qlZ6ymTQ65HKms6cCCbkBIR\n4svumQf3msd5dQcOTF4XJpQb2pcUmVMq/fqFf5evbFm2i/F9RsrvlnnDDfMlWvHhrpHq7qaQysI4\nADdqrW/RWr8G4DsAlgE4Nu2LRx9tDGPAuBmVCmdRA8KLkB94wHRCAHDaaeHP3XyzvzHFZZj69NP4\nTcJWrAjPjsUJqbjY45aWbPtnyLkA89t9e1bY2EJqyZL0Rv/oo8HA8Mkn8QaVbYS/9ZbJfHjTTcFr\nH38cTYDw0EOBYPSFWrhhNIBpTD/6UfT1NFeyGKI+I2XmTOCxx/zfs8sg3io5hi2yWlvNQHL22cnl\n8JFHSNnruex719SUvfNqbQ0G1rxCaqONTLlkny/p8NxOzhURdtig8NFH8aElSdx8c1B+e5LEx8KF\npl+wN2qV+pwkpOzyf/az/s/56qfdnu3wyCTc2f7+/c1x7JAuW0iJqHjkEdM+xaCwN+IVxJPuEyIL\nFoT3O3PXIUpfsfrq/vsHmHpw2WWBx/HXvzaznSKwSxVSs2cHAuO66wKjz509leu96qrm0a7Df/tb\nUL/twb6ry6yNnDUragTIc3e2OM7Iam83Y4CbbTQJu8316RMVUllIm5BL6g+lD3cT1Uhb9u1P4/ZF\nbth7S0vUsHWFVL9+5v9SjEXbg+sjSUgtWxY1BJPCxN1QNFtIucL5gQeia4+TQvu+9jV/ZEdWIWWX\nzZcFz2bffc2jz0OTJqTcvtEun92XbLmlWedpbzXjeqSyiiMg22dFhJQrpFziwj0HDjTle/LJ5Anb\nckP7hg0rrW3Ym7+79O2bvtlzlrVmSUKquzt8jqFDy783vtA+CqkElFItAMYA+J8pq7XWACYB2LmU\nYyZ5TpYsMeF+ra1R9+NxxwHHHx8dzOKSESTFWbtCKi7bks/AkYFp7Nj449vI7G9S6J1ghyn5FuL6\nkHTQd95pFmP7cBvazJnhDWSffDK6sPWuu8xv7dMn++Jfe22LTZqQitskFjBG9t57m/932SV4/c47\ngzAOIDDA3U2WATMbr5QJG8ziKrdZvjz6+z/91C+k7Lrd2Rl4S/r0yRZCARhjU85nGwZxQsqenWxp\nMed1jW63k3MHb9+eUF/7WnQRdRZsw9PnFUrju981j3H3qbMzPGHgC1UF0r0RWY0jd33T88+bNRj2\nRERcKNI77ySHUYix5OtnTjjBiLa4cBIJ11xttehn3GsnbcENXS1VSM2cGS6zLEZ2DTxp1+INtgXw\nNdcEv98uxxtvmMx8o0dHr4v0h/aaPyDc1qdPD4R8e7v5SxJArgi1z7neemEhnbUN+9ZZ2dhhT64w\nknrp3qvu7mzeMCAsWNrbTbltg2zPPaNCqn9/U04RJj7vZ6mIp8s3ni1fnm2SSMgjpJKw72VaX5C1\nr8iTYEH6ZF8IWUdHNKmJjVuf7PK9+Wbw/3rrRUOTXY9Ulmsv9y1LfyHZReOM9VLX0sTdg759TT3+\n4hejSzx85y01tK+1NXnj6ziS7A3XIzV5spmItu21pqb01OJJ69y6usJJQAYMqIyQskU4hVQ6IwD0\nAeBEMmMBgJjVCeWzwQamwbsV6Lbbkl2dMvMJJHd+++wTnrGO6yh8XicRUttnWiUWNvZtfL/DHmA/\n+igcspi0waYQ50EQo8tN1iAkDdB9+vhFqa9DdH+rUmZGJkvZgfQGbh/HFzI2aVKQyMLuoOw1Qnmz\nCS1YEBZSffsaQ9L1VAweHM0IKfVqlVVKE1JZPFL272lpMfXTNShcQzvL/XDXM8SRFDee9Rg2ct/i\nPFJz54a9QXFCqlL41nAAxtsj1zFpTUeWePQsWftcpE6vvnr0M5dfHvy/2mrhjYptygntswXzCy+Y\nuucO6NJvyHVy+zzxuvg2Hl+0KFpewRVSdn3fYoug325rSxdSRx8dfm6HbK67bvj+Z23D9n5ZQHQi\nxp5Ycq+Z1CU3JL2rK5rmOA67Psp4JWPp739vPPw+IbVkifEQA9l/axY6OoJ2/dOfhg3e5cvzLX53\ny2VPdGRZiyb7YdnHueGG6OdsL05WgZZ1bLHHOd84miaYk4SUTVtb9FiuR2rnDNPheTxSIqSyXIsr\nrkj/jBA3MS71OI1yQ/va2+PPk9RWkvoeV0h94xtmSYI9SdvUlB7e53tfwmO7usJ2Yf/+5Qupf/wj\nus1KJemNQqoMxgE40PnLtuWzbPLqU/ODBgX/25uGAeFOKWnjsTff9Cc/cGfQ773XVJLZs4FzzzUd\nz4oV4YEpDTd1pOCLk99rr/Dzhx8O/nfXgmy2WfD/iScaj13cQNvZabxVBxxgjH035DHJ4I3zSGVd\nY3LGGUE2vl13Tf5s0qxGU1N6qNg++wT7zNiDqm14+Tr4LbeMP+bcueHfv+GG/rSx9h4a4hnq7jaf\nnzQpn5BautTUOduQjAv18AkpF1d0fv7z2cqSBZ/xMmJEeNPbPIiR4BNSQ4eakE0J/wUqI6R23x34\n5jf9bTUuLT4QZC10DWebIUOSDcUnnjDG7dZbA8d6gqWzeKTsdnPQQeFrt/76wT3ybRxaCh9+GL4u\n770XhNjYiPEjfcXgwSYxzq9+ZZ6LNyhuTUyckJLfvtVW5jEptM/dO8fF3d/Qzt653nrhELusbdg1\nvF2hbU+KuOOIJG1wjeM8C93t8/3oR+YcUkfkNzQ1mXJKIia3P69kaJadoXHrrYOtBIDsXhEpk/w2\nifCwhW4Wj50IKbvffOCBaChl3NrLtPJloaUlfqIISBeEbn2PExltbWaSxq5j9u9+8MHk/T0F2/OQ\nhkSxuMiEkm2jZZ0YAOLFYl4hlWWvxDghFff7k/qXpD6jXz//vbbPk0VI+TxSU6aYx6uvBr7znfBn\ny10jddppQRZpyf4Ztd3Gw7b9hw8/EEYTpNMbhdRCAF0A3G5lDQApWemvAnCf85ctHk46GZ+QGjDA\nhCb8/e/R8AO7kcbt3SL4xIEtXISPPzYD9sUXm45n/nxgxx3jhdRXv5p8XkE6lnXXDX6vHbrm4qbT\ntoXYt79tDPbXX/eLkWXLgvJuumlg2G2wgZkttsOUbN54w3Qovhn3rOF+tjE0YUJQjkMPjX5WOpCh\nQ8257VDBvBlz7I43zSOVNKi99154oJJOy70m9qxmRwfwy18aQ/U73zFJLPJ6pD772XDIXZyx3qeP\naQfPPRcvpFyPR1I65rjw0DgR61u/tvnmUa9BVkRIuW1/662DdQU266wTf6ysa2NGjDDZvA48MBrq\n5e69Ybev3Xc37TJp7V1TU7jtjh5t2ryw555GlKy2mqkzLmlCasSI8Gf69QuXsbMz/n53dYUnpoCw\nNyuJiRPDz/v1i5ZV2qDU/ZYWU09liwhJzhLnKZe+w+1TZYG5CLK4vl5C+/J4V+xjrblmaULKxe0r\nbI+wjFkXXGDWOD7/vHleKSHlIsa+9MOS7MEVUknJcbJOogm33BJM1vmMwqweqZaW4LpsuGF4I3Ig\n255IIqTcftKdVBAhlTWaAjB9sbthtI/W1qCN+iJW8mzgDETv9003mUQb4pGyJzBdsWdvWB9HHo9U\nR0dYuPvSuwt5hJSstXexz5WElMMOc4sTvm5o32GHlS6kkjxzbtY+H7LPaBK+NvXoo+bRzk4t5cmS\n8j4NEeDS70fvwVjYtv/dd9+HyZNTkgT00OuElNa6A8BUAP/zlSilVM9zz/LpfMR1oDK4f+5z0ffe\nfNOk+/3Sl8KV/dlnw899s7su22yT/pmRI4OY+1/8woSOuOcGAu/YttsCJ52UflzJPNa/f/DdpAbp\nCqlNNw3+33DDoON3DRzACAHfrNSjj8aLKMAM7H36+L17svFxkggBwuJ22LDgN/pCnqSj+uMfjfiw\nBVCchyNuUa/tZbOP4xPASZ2d65HyCambbvKL/uXLg/MlGWEHHxz8b4f22cT9/j59jFjbbruokLJD\nXW2SZk5vv93UeZc4b+IBB0Rf23zz0mZ0gUD0uYNsZ2e43M3NxouUNJv985+HMym6yHdtw9Ctl+69\nsEX1BhuEPcOCXZ8+/jh87/bbz3gbxzvO+cGD/Ubb/Pn+fkGuxbBh4UGsX7+wR2TatHhvZmdn1GjL\naiS7a119M8NyrVzjPclwtgW49Dtf+Ur4M2I4pBkEWdZIudjhubKdAGB+bylCatCgqKHr+/1bbx2O\nFHC9K2mJimzcLHB9+kQ9Um6f5973/v3DY8zXvx78X8okiWTDK0dI2e1f1ga+/Xbwur3u105g46JU\n1GvoCqkBA0ybdCcakujTJ9vaaaVMnVh7bX//lVdIufd7xIggbGzJEjM2SbmSoi/iKCW0zy6Ljf1e\nnvXKIgxcsnqkxA6xs/fadoGN65HaaadkIZXULyRFLrmhfXHfzxPad+21yTZZnz7le6SAwCPcr5/f\nI+X2zUpl99j2OiHVw5UAjldKHa2U2gzADQAGAPhjuQeOm4mUzuvWW/0zPL5F7FtskX8h49ix4cHC\nh93h/utfRkAoFW0gMsvc1JS+QSFgKt7QoaZSX3ZZ0Bmcc45fQP72t+GEEPbM8aqrBp4E36yc7ZEC\ngk5i4EAz22J3KH/4g0lWMGFCEALhCql//hO48krTCcTt42P/TkGpoBHbA7eEctoZpOR3AWYPKd+A\ntsce4ZC6ONI8UnmElHRSdh0cPNhvgNphDkmd7YknBv8PHOgXUj6BDPhD++ReuymJv/tdY1i7sekb\nbBB+bmePBMw9zDMLPWpU6RsSS6IMtwyukNpnHzPTLfXJHjyuuMIYvkolz6yLaHKNmaQd4G3v3q67\n+j1i9j1ZuDBcd+Wcbn3u7PQPmP/+t6njdv8CBMbs5z8fbmN9+0aNxLh1mr71dHGD9nbbhZ+7dXTu\n3KAPk0xV4i1whVRSXbLv8Ztvms+6hruUMa6sMsi//ba5rnkMB1kjdPbZ4fOuumr4OFnD0dZaKyqk\nfJs6t7aGowyyZpX04YZq+0L7XMPHFTPNzWGD3vaiZvUk2P2PJIXy3bOs19LuQ+3JCZ9B/KUvRfci\nAszvbmqKeqTsvXvkXJdeaiZr4nBFSdZsdTLBcO214b4fMBMzaRsSu8a3K6RaW4OMcB0d5n8ZYz/z\nGXMN8qwVzpNsQsY8qV+XX276HxljbBstS2rvNPIKKeGuu+LtxbvuCl+fAQOMTRcXFliKkLrnHvP7\n02xFpfwTRnZ7tNtPv37+bUvkt1bKI2Wfzyek8m76a9MrhZTW+k4ApwO4AMDzALYCsK/W+oPELyYg\nRsQqq5iQqGefDYcOPfOMeRwyxL9fkT0zIMZ2v375hdSAAWFXbxZGjzaPbgORTqGpKdvO7C0txtiU\nwVnKfvHFZh+hiy8Oh5msvjrwk59Ezyff7dvXXC83YxsQ9UjJ/zIDfuedwXvf+pYRRwceaJ67KYCB\nYCapb99o+umkfYOA4PfajVnKIUadvCcDZJz7ftCgsNclLhV22hqppFkjCe0bPtwMrDIzbG9+Onhw\n/AAq50saYO1rEeeRigsx8QkpucaukDrwQOMxXXXV8Oaovr0mfNx4Y3Tg97H22qV7pIQ0j5TUFfmt\n664bhFfuvbcJv01DxJ5r2CeVXdbQLFxo6oTPU2iLyA8/DIs8EVKuESG7w998c5ClEjAbGu+0k/Eq\nzZkT1NXDDzfetjFjwoaE1vED/rnnBv/37x/UM9sDGVdPbc91nDCReiS/XzZ4ttflAP42OGqUMbrs\nNnzRRaY9bLZZuD7I/dpkE/PorjeV8snYkUdIybU86KCwt3H48OB3bL+9ufYTJ5qw6iRGjowKKfve\nyzXr08fvCS4Vu077PFLuGOWuz3U3nLcNt6weKTu0VsYlnxGX1bCzDVZbPMWVx9dnSmifK4LcycKW\nFtPXJSWVco3FJCG1557B/9I+JZuscNll6fsdAtH+2q1ftpCSftM2pH3HyHK+UjxSw4bFR+hUwqBX\nKt8aKWGttdLXZAsjR5pzyLogl1KE1MEHG/slLSNkltC+QYMCofrtb/vX+soxKi2k+valkMqM1vrX\nWuvPaq37a6131lpPKed44sVobjad1U47mRlm34JAn/vX7uAlLK65OVsCCHsQtzs9u6NLQowE+1xj\nxwYVuakp2/ohV0jZ9OtnBqENNzReu7i04i6rruoXUkuWhMsre3fJYLvXXn4vGODfMNE2DO+4wyzW\nFdI8F9JxyAwZEJ2RlBkVEdxxxuGgQeZ+Hn64eS5rL1zK8UgtW2Y8FAMHmsQZUm6740hzpQPJIt+u\nh3FCyu2YJNTG3kdNhJScy/Ui2HVNZjWvusoY6zZxQuqEE6IZrjbeOJr0ZfDgqEfKt9lxHHvuGe3s\nV1stPJCLkLJDlU44wXiNJQmB4JvxvvXWIBTIZyC4ISlCd7fZvFQEvBjzNtdeG3iBFi4Mh2WJsewT\nUoAJSXZn0nfc0RiFa68dFubibbPr4vLl/ixjn/2sESbCaqsFxrTtkbT7iSuuMIJh//3Dnr2ktQVA\ntK5Kn5DUPx96KPDDH0bbSUeHOfd11wWvybXr39/c70mT4o8L5BNS0s+MGBEOZx0yJKhr++xjElH8\n3//FrykURo6MzuSL4X/vvcE169On/MkHG1tE+DxSrgHnhrTaQurZZ8ORIVmNpLa26ERD0p43adj1\nzv6O2//KWsq4ciplwiiTDGm5Tkm/1R3r+vSJ/y325IgwbFg01C3No+XzBsZ5pJ5/3owlcdctK77Q\nvmef9QvVzs6wcHd/j92+fe0yq5H/hz+YSS1JdpCG26/06ZMswPr0MXuQjRsX9NlxiYeS+pekPm/o\n0ORkRvJ9X5uxr2vfviZJjdbmdZkEt5FJ1eHDs13jNdc041wakn7ebUt51ha69FohVWmkc3UbmVRs\n27BLE1I//7kJt1Eqm0fK7hhbWkxM/AcfhI2tjTaKbgjslt1uIMcdF5Q9j0dqjTXSK/UBBwSLql1e\ney2chGD4cH9YUldXuLynnhpdUPnEE0GmlzTsgWvYsPAgm+auFwPe3pjZHZAkJausGTj8cL+QEmP2\n6quNUeKGqAm2aMvrkQKMYexbTyNkEVJJuGt/bMOwXz+z544rBrbbznRe3/pW8JoIqe5uM7spAlOw\nO3wRnd//flREu56sJNragux1wpAhUSEl9TJuk2ybvfeOXud77w2H1cngKb+pTx/T/n3pfH1rxY46\nKiijL7zijTfiNwa1jUNXRALG8LdnYddbL/CQJXmkBLc+2d41qU92vbINgrgQFLefWX31QLDbwtnu\nQ3/wA/NbHnwwXHfShJRbV7fd1jyKNx8wiTp8yPml7vo2ULWv3c47m/DspD1kkgydf/wj+P+MMwLR\ns9pqpizTpxtPtL0XnP370kJYfXVPEoIcdFDYIyVCasCAbJ6JJOwxyCek3DHKbW+trcYLuffeZqLT\nDkXNk71wxoywt8c3PmTN8Bl3XlfsSOiyTwRJaF/WcyWFHdptqqkpeR2I75zDhkWFRZoN40tI5Xqk\nWlqCsfDf//Z7pHy44Y2CzyO17bbA1KlRj52bbMK9Z/bv89k+WSc9Vl3VTHZkFVLu9bfFXtznDz3U\nLGHYeGPTzuPCPJPqU9J7w4ZF9yn0fV+uk0RqAcBDD5m1yED6OnXA2HyA8SxnEVKffhocPwmG9tUR\nGVziOh17YPdVEjtGWKlAbGXpIO1K1NxsBuERI8Jl+eEPjXHuQxq6fa7W1rCQcj0K9uAxeLBpkD/7\nmQk98WXqysqmm4bXaAwcGBib7gJtu7w+0emGeyXhru+wO+escc/2DKjtrdhss2Bg3WorY6jvtJM/\nPvv4483jGmsYo0QMYjHcBPe5S5a4dhlQ7fojM8tJHVlSnRTjxb5+bhreiy4ynaA7oPsGARFSXV2m\nLvg2FRR+8pOw5+KOO4LwWrv9pRlNbW3R8wweHJ1dl8E+S7ry/v3Dht0aa5g/2yDzCak4HnssPBlx\n0EHmUTyVPiE1bFjUsyVlso1n33l9XirpH+S70oZaW831sjdmdSePfOdLElI+j5Rr8K+2WuCViPNI\nxeGLwbfL4dbVbbYxfaItct1wH+mPpJ64M/h23fVNZhxySHx5fQbqeuuZDILS9o8/3ggmmUCTNj1q\nVLDpuXw2q5B66y2/QWGXRepxU1PQZpYtC4tOlyz9tLsmNs0j5faBLS0mW6Is8ncne5KQc7S3m+to\nh975xoe4CbC447q0tppEUPZzwC+CJLQv67l8x2huNutN7fKkhXD7zumG9rW0xPfrgm9NsBt639oa\njI3ueqikftL2Itj9tM8j1dpq+jl7Ik/O19QUJCFKWkPtE01ZPWZ2uHApQiptE1m7HIMGmQlrWftp\n8+1vJ//GNI+Uu0+h7/vSZux7summxuN45ZXJfV9zs+mjDj3UTE4ddVRUSLW0REXT0qXZEtxkFVJ5\nogIopDIijcDtdHyxznZH9sYb5jEu04mvs3LjWu0bandQ9oDoGu3HHBM9bpKQsg2bvn3Dx2tuNovk\n11nHxGlnWcuRlf79g1kLmV2SDiHLZoVJ2NctqbNLG2RPPTXqYbv00sBwcQdLOe+ll4ZfP+KIqCdl\n772NIJTOffRos/7L9oLYXo2+fc2fne0pDqmHvsWypXqk7BBXwf39IirldZmp9nl2bI+UeGhs7Hvo\nbkp52GGBZ0mEVHOzf48fO5R1//2jg8XAgfEGZpaF5f36hcsqQsc2GKSNxWUhs9l443B47L33mkeZ\n0Ilb8Gv/hqeeCs7hzqDL77/8cjMDLM//8Y8gC9wdd5g1ZnKMTTYxwnXRIpOhzRYOdn1yZ0F9Qsoe\nxFasCISihBduuaXZq8pm2LAgvbhdl/KuM7URg8Z3j13x4w60cl4pkxsKGueREpLqVWtrtI6OHGm8\nutL25BoeeWS8sS39uN2fx4WAHnRQsLG8i33suNC+pAmMiy+Of08488wg/DfLGim333YNnzxCSryJ\nvjHHNxuexUuddN6WFuM9tZ8D8ZN69vWP875LffUJ4VdfNaGmdrvztUth//39XqMBA8L1Mk5I2XU7\nLuzaprXVlF/qU1aPlH0eO9mJ1FG73svx4rLgfvnLZixyw5TTPFI+D78Pe0I7LgmGeGHc8wJG5GcV\nUoApq+/a/f73pWftGzo03S6zPVJyfpmEam01oYdJ9/Sjj0wegCFDTKbYIUOiSXPa26PLALTO5rkS\nIeV7HTB27u9+F+/t9EEhFYNdof/wh/j42alTgccfD79mNwCZxY1zOcpnJdUqEK1kcSEq9qyYGxoj\nG5rZBo4rpMSo32UXU2Evu8w817ryOz/HYQ8cUh7Z4yYtFjeO737XPGaNeU0zxK65Jrrma8CAINQv\nrlM69lhjiALAeef5N1T+3OfM7xRv14gR0XVT9r5WLS3G8IwLM3LLaLPrrkEnmHRtkjo5qc92PXTr\nnsw+K2Xq0m23AS++6N+Hq7vb/D4J23Q78azx58OHG0P7iCP86b3//Gcz2/7BB+aeuPd8xIiokBKD\nxb0ednIB8Vg0N4frgUyc+DxSffoYo1ESG+RBJm7iFvmvskpwzewQFldIyW/ab7/wxMhuuwVZQTfY\nIGok7LOPXwDY/Yy7djNt5nv5ctM/am0GXK2Bl16KGozDhgXeT/seK2UmrF56yX/8JCRld5aMjXGh\nHzLj7mZis+uDz/i1r6NrIPmElL23le87PqQvtbPi2fdBPFdAINZ9hpT9mkQUDB2aXUhlmd1dddUg\nMYwv1MoOdwbShZRdnjQhJeOQzzNaCY+U3H9JntLSEi6vL6GRjd1fTZ8erWuf+UyyR8rXp0sf5V6b\ntdc2obFu/RJvlOuR8q3bscvgrmW77bbgf5kYkt8v/ZtdpqTxWcSjG3GSlGzCdzyp3/Z55ffbfa3r\nKT7hBOCSS6LH82VGzSKkvvjF+HK2tyevkcrimc9C0nGyTCo2NQXrU2VCJC4Lq49Bg6Lr6ux2Idel\n1AyKaenP+/Y1S1/yTNBRSMVgD5pHHx1cdLdDWn/9cOV3aW42A/z11/vfl0prV4okY9IeHOzOneJT\nYwAAIABJREFU3G2YcjzbY+bOJG2+uWmYO+5oOvrTTzfviXdAyDJgl4o967v22uZcYojl3dBWELdx\n2n4aci1LmdG2vSdJBoQYpb70976y+EKA7MFAFiVnCSewO7033zTrmGTwTPp+llAK+zOukPIJma22\n8l9nd1FxkkcqjW22STeIR4ww19puC5MmmfbihvZNnWriwV1DQ4yiP/85mLBwN1EVg8wnpJQyg68v\nnM7FrQ+DB5uwP5n0cFEquAb2ZqBxHqlSFnL7sEP73HuWNPP95S+bUI8syODar5/Zw+iCC8zzpibj\nDcqz38xbb5mNjKVvyxIfH+eRuvVWcyzXyJDrsMkm/ggBNwWwTXOzGXeAYE2pGxWRpX+UUE9X3B53\nnBFOrtcc8BtSdrs89VTjufz/7d15uBxVnf/xz/ferIQkiAQIDAQIyCbwEGRTwCCyiSgCIosjCo4/\n/Tniz3FBVAQHBhhFcRtFgwLDaNARGRGJoAMyuCEmyPCI68AoyKIEn7AJBDi/P04f+9y6VdVV3VXd\nXX3fr+fJc2+6+3af7lNVXd/6nvM9O+ww8YSn10Bqzpz2NpL8rpL8xcZ4Me20oX2xMgULwudfNCNV\nJpB68MH2QuVhvlDWKIa011q9emJ2aPp0f2EqFmfI0rblMiMywv+TQUi4WFJkaF/Ytl/xismBVLx8\nS8jihs8jbE9xRipPeJ0ygVSnCwVJ8bItM2cWm3uZ9nnH1Y6zAqn4eJ+Wkc5T1bG80zpSRf7+7LP9\niIiicwk7SQukkt+NyYsLJ56Y/pllFZvopTIggVSKI4+ceIUivjpWdIGuYNo0/wXfKWWfNnY5iLNH\nWRmp5I4ZHpecXBo/Z/z6sVBJpSpvelP2FYm0wCE5dKWs8J47ZaRCn8Rl3HfZpdhrjI8XW7g2nCzH\nZeHTpK1VlfSb3/iTd6lY/8RfqFtv7T+XIsMQ4u3vt7/1Q35CuebwmcavH3+xLFhQ7oAeV/ALk59j\nZYLcb3xDOuusYo+N94XwXpLDHefNS38/p5zihxUceGB7W3vyyfQ++fSn/WLcUvaQqjy///3k9Xle\n8pL8K4Oh6EDc7mSAmRfcdCP+7JLj3/Ne6+qrOw+h+MxnfLAbLgrtttvEjE03F0K22sqf4JWZYJz1\n2Fmz/HOFPgnHg7BfvPCF6W2M+zD5mT31lF+H74kn2ieXYTH2MsfHsPhxsirWsmXt4ZRJnQKp8fF2\nFi6+Pe+YVEUgNWPGxIAwr7pa8v5wASpIDp8PJ1xpAVLa+ypaTn3aNJ91CdtOMqsYJLeZTpLbYhxI\npbU3b18pGkiFc4wiGak5c3y2/hvfmJxJjIOeMC8pvO84kArytvNkRipclAltSmtb0QXu44ss4SJN\nGFofZG3zaW0ukpFKu6C+446+Gt2225Yb2tetvONp0UBq+vRio2Ziedt+p0Bq++0nD+m/5BK/LE/a\ncxVZkLcMAqnIi17kJ4B+7WuTF2LMykh10umENy2lnHZVPgwjywqkwhyb5ByW+IDdqYxnkJzs2WtG\n6nOfy16XIZ47Fq6el7nimibsEJ0yUvE6WuFnp5XL43HbRTJSoT/CyXSWTmPkJT/WvEihgiDtZPuC\nC9I/13ih6fiLZvFif+U6fKbhCzy8/uzZ/op8EP9eRBzspmWkypg7t3i6P22xZ7P06nHJfXi77fyk\n/w02mBhIxdtBOFE76SS/sOe//3s7CC5jgw2KFbuIbbihb0v8WdadkQqB1LHHTu6DXl/rLW/xyx2E\n9xAynkUrseX5xS/S59SlycpIBWF/C8M9O50Ux/tn8rN54on2XIO5c/32FooThNetaqTAvHkTS6J3\nUyVUyn+/RQKEddaZGHRnVVELOm1P8f3x/LVttmnPxQq23dZvB0XnuxQ9ToX5hkH4HMpkpNLkBVJ5\nQUHaNpN8fFYgFbLsRedIZQWHcdtPPdWvNxeyVt1mpML3SLjgnDc1oWxGany8/XzJIZlZ53dprx8X\nmygSSAVr17YD/X4M7SsSuObpth233JJ9wT3eRtOG9u200+TMp5TeP50yUt2cgxBIRRYs8GPKzdob\nQ9hRw4de9kPuFEjlnYyH8evxuNz4cfFVsXDV5wc/8JPEw+vGr5+WkUrzxjdWm5HKc++97d/DMJRB\nZaTGxvxcsUsuyf6b+KSwSCBl5odmxMMD0hTJSMXbXpGDVVbWIm0bTitXHQt9EX9mN97oT0Q326w9\nLLTsyXK8HSYzUscfn71gca+SV9iDtO0++Z7iIQTxPMMQuL///ZNP1I4+utg8nCosWJBdACRIu/Lf\nixBI5V0N7zVoC0Oow8+wfWcV3pAmLnOQZrPNJheACfOmkjplr+bN8xO5wxyQsG1nHceS+/rixe3t\nMnlS8IIXTB6KXFUgtWbNxPmbnTJSWTpVIez0nMmMVKdAqtO2m3ax5JWvTL9Kbea3gyLvM1QKLSJZ\nabBTRqpoIJX8POPjZNp+Fk7A00rbFw2kwrDHonOkss4h4uqs4+MT54/3mpEKz5sXcOTNkUozNtb+\nfM0mf2elSZtrFwfRWQUb4mNCeA9PPVXsnCjr+Lp6dXs+7ooV2X8/b54v4JQW5IVtociFym4vhu68\nc/YF97RAKv6ssgLntGN2ViCVN0qrEwKpSLzzZWWk+hlIrbuuLwkelzXv9HxbbeV3hm4DqbVr/QKm\n4e+WLJm4sGTVQiD10EOTD6K9ZqQ6nfiEg8IBB/grksce66/8nHiiXzQzLYMQZ6/Ssolp1l+/+HZQ\n5IpPUUUmhgbxXIe0A3KYPxRPyt5vv3a2JAQJybK2RcRV7JITeeuSdpKVJe67Cy+ceDKyeLHfTvfb\nz29DX/uaLywySCEjFUueQFU9tC9kctOer6rX2mwzf1IQsidh/85bA++qqyaezBapxJRV0bJTRkry\npYXDvtSpKESyj377W78t/eEPk8vYx8K2W9fc1bJX7EO2Z+bMdiWtZcsmPibt+yb5/uNAKq4IWEXm\nMezDm26avkBsmQsKyTXo8iS3paxAKrzvMsOL4sfGFczi/SwUtwiBxic/6SvwxpInzqFtRQOpThmp\npDlzJl9oCtICqTzJOVKhbWUzN3kXD8fG/LnADTf4/6cNM0tKC5SKBFJxoBJef+3aYgVmso6v66/f\nDgTztvO3v91fhE9uD3vvnT6XPyk+N6pa2nlsfK6UNWoj7RyIOVI1iz/YZEYq/rIoougQrLgk8o9/\nLF1xxcSg7ZvfnLyAXGzVqnaJ9Vhaufa0cedJIaUe5sSsXNn7Qot59tnH/4yza+Ez6zaQioedSdlB\nYzgobLihH4IRV9rZe29fMjspPnAWyUgVFYY4VhlIlXmuGTPa20raNnvllX6x13CCl3zu8EXezTyg\n8FzJqn11ZkXLvE74PE45JT24i7eJo47qvppQVXbZZXIhi2SfVj20L23uXPK1q3iteB2bIoHU9OkT\nA6DvfS97TalOwnYafna6qNZt5qjTpPIiJ4u96FT+POm//7tdDCGcfCcD96IZqXi7XLHCr11YRSY3\nHKOzhlSlvb+sBe7LSL7vTou+ljmZC9vhP/7jxLm9cf+ddZZf9ydk0efP98sTxJ9pcmmWZEYqnPuE\nzFFyikDadvi2t02sfBz364wZPphLmzccV+3L238239z/DPtKMiNV5dC+sTEf4C1d6v+fXJIjTV5G\nasaM7OVw0r6z164tlpHKew/hGJj3mPDcyX3kE59o/56cDhFLW6+0KnlD+/bbL3t5hbS2EEjVLD74\nJ6Pe887zgU6nOTRB2HA7fdnGY2/33HPi8IisQhCxXXedvH6J1NvQPsmvQn3llfmPqcJnP+tLUsd6\nzUiFHSysB5GVmUlbXLaTtOF1VQRSYXhS2oF06VJ/gp4mb9JzmYp3Uns4UVZG6lWv8l+Ot902ecjd\n/vv7L8a8CpZZ4n4oOnm9V3kZqV//euIiw6Ed7353b3O4+uVv/9bPy8oTig+UyVrmGR/3wVTRQOq7\n3+09c1ckkEoKc466MTYm3XRTe32rolnmqoV9PlSAq1rZoX2zZrUD6fB9lhxKWiSQiudIjY35k+QP\nfrCazzH0VdocyPB6SR//ePVZv/D6WZmpMidz4XsulJoOkiedaYHobbf58xlp8tDYZCC1fLk/nnzr\nW/7/yYtQaZ/RQQe153VL7akHYTuZOTN9famQkep0Mn7CCX6IZsgOhiCnrkAqVqSPqhjal5aRis+J\nwmND4Ze885hw3tppbrw0OZCK97/wmmnL+YTPpYrzoaS8oX17710+k5sWSIV57Azt61G8in0ykJox\no9xCtEVPUMJGW/VJY6diE5029k02kY44oto2pZkxY3IWo9dAatNN/YH/tNP8/+OFQ2Phi6jMZx8f\nVKvMSC1d6itSnXTS5PtuuMEPGUt617v8VduszFPZbSpkITt9qWQNOyqy8GKaOCPVr0Aqa46U5C9M\nhM8ibkfZwHSYLVsm3XVX8QtDRcyfnx9IxZ/5AQcUr7CYpZtAqpNkCd2kffbxw5LOOGPy2nJJVc9l\nCtZf3198yppP0KuyJ5qx8H3WTSCVVbUvzx13+EnqyXLgSWG7LJORqkMykDr00In3x0H+YYflP1f4\n/srKNufZeOP2+cxLXtKunidNDqSmT/cnmeFCc/JiYpHtOywgHxc1SRMCqb/8JX//mT7dj9RZuNBP\nDwjVX4sEUml93WloXyxtaN9hh/nzjVD0I6/YRF5GKn7u8Prx0hrxZ7Fokf//i1+c/R6CxYv9aKci\nF1/CMTAt8x5+T1tqIs64VS2tGFtoX6cFgpPSsqjOlS/qFCOQisTjjJND+8r6xCfS19NJig9Wecoe\n6DstglnVkJ469FpsQvIH/vFx6c47syvJZX0R5YkPqlVmpObO9WukJEvF5vnIR/KD+7Ip9hA89Hvb\nGLaMVFK4f5QCqXgCdVU22ig925NcYLoq4aQlWSyiWzffXGxR32nTpDPP7PzdsMUW/r1/6EP5jytb\nJljyF5/qOvmP940wRLToa4U5kslMeV2B1Pbb++/tvDllUv7Qvre/vdy8pzKS7zGcgB57rP95+eX+\ngkbwmte010frNES4m++vNLNnT5wPHAoHhXOTvDLzY2M+A97Jaaf5ILLTwqwhkHrkkfaF3LTsR/yd\nu3DhxIJR0uR+Xr68/XvaeUXa9pZ1bpY2tO/qq/3wsrxCJEUyUvFrxRmptHOi5HDQvH3GzI92yvtO\nDc+9yy7ST3/aXvsu7u/Fi/2olHi4X5BVkbIKeUP7kkHpypV+qZgsM2f6td2SI6F6WU6DQCpD2oS2\nMo46ylc066RoIFVWaH+n8fbDqNeMVGzLLbO/kLoZ2ldXRqoXWQFnt4FUv4evDTqQ6vQ6o5iRqsPX\nv+7LGSedeWZ+Zb1uLVok3XdfsTmc4+PZRSSCPfao9ng5bZr01a/mL9762GN+mOMwiY+HIZtf9Jhw\n333+54IFEz/vtH0s+ZyzZlVfBCUIJ5tpwe/HP17sGJ7czo45pvPfJI/NG2zgbwtzmmbPnnhBY/r0\n9j7UabhSOG5WcZwMn/f06e1hv+HcJNkXcdA6NuaD2TC0LotZsXaGQOrRR/3+6NzkhdKl7OfKCqTi\nNdOKLtKbdW6WdwEqbzsqkpGK/z6c/3QqNlFVQB0/9267pRdYmzbNB1Fpw0X7HUiF7T85jHLJEr9u\nZvCa10y8v47kAoFUhl4zUkWFHT7tSkQv5s3zqdw6K+7VpcpAKk84AJX5vOPhn8MeSBU5+XnRi9q/\nhzlSySs1dRtEsYkyAVt8koFsixalV0Qzq68Ax8YbF9vO16xpn+QPk7zqZoOStg8WvShzzjl+3q7Z\nxKxUXh8ddJDPrpsVy0itXOmrz5WxcKF00UXSRz9a7u9i//ZvE4+1X/lK+/eXvrSdyelVkQpp8f1V\nBJ1pV+OzAqnDD/dDc+O/q6rAQBxI5ck6Zof2583zSctK5pWMT77WZz8rvfnNk59Xyr/YFn+PZGWk\n0tbvdC5/lE5eAYgyks9dpFJ1GKoZFwepe2hfKApWdGjf5Ze3s2tS9ufUy+dHIJWh14xUUVnp86Sw\nqn2ZK6ZHHtn9xOpB6ncglXV1KM0VV7QXWaxyaF8vkgfAMJSxyIHh2mule+7xv4dtrN9V58LFikFl\npNKueMbSCregWebMqf+i2KhIG/ZaNCN12mm+kqw0MahO+/tw2847t4OQItUklyzxVeHKOvnkaucE\nxr7znfac3FhXw4QKBlLdjKjo9Jpx32cFUlI7AxWKR1QVSIXgu1Mg1Wltsaefzp4fnhZI5WWkksf9\nuXPbww6T/ZuWRUwbGph28l8km5V2TlRkaF83OgVSTzzRXiQ8XgC+zozUXnv5QmhSe/8oMkcq7pdO\ngRRD+yrUr0AqLSOV5phjfCWxbbettz3DoF+B1Lnn+gnjaVUPs6y7brsPhiUjlRQ+tyIH1jlz2pmo\n/ff380T6UWQkNohiE/Fn0+kEO5TsbULFPqBX8YlzLxmHuHBH2pX7ZBn7+LWHeQ5vlrTPqJvRJfEc\nkLxS/VVmpNIC5rxA6rTT/DyaMKc3vPfdd88uRV1ECHSTyzdIE6sIdxrat3atz1YHae8r7e9i8dI0\nSVkXGNZf348C+qd/at+WnEM2fXr6xdusUvlS/hypsB3kFdgoIrmthqA2a4jpzJkTi5qFz7COjFT4\nvA86qD2ssEyxiSKLKJe9aBQjkMrQr6F9ZeZIxZXERlmv60gVtXCh9KlPdf9FVHRB3n4rE0gl7bHH\n1Jsj1cm0acyPwtTRS0YqFg/tS+5v8RXstECqjrVo6lZVm83aw2HzRpR0U3U27zXjn1J+IDU+7ufR\nBOG9f/vb6Zm5ombMkH7+c7/cTNIRR/hho1KxjFRWINXr0L5Y2n7x1rdOHDn0uc9NHC6flZHKC6TS\n3m+YZhACnazS/t0680y/3lde0bR4/nCdF5bD66SVYq8qkOrlnL+Bh6v+6PfQvmHLagxSvzJSvRqW\njFQ3Y5uHySDLn8dftllCRgqYCtIqk3ZzLMkb2hfv63UHUv260FV2IeM8Y2Odi02E7E0VGalk1Tsp\nP5BKqrK/dtih8/G2SLGJeBhnNxmpIudmWf17/PHS+98v3X+/b2u8xMv06enBXPJ10jJShxzif955\nZ7sCYgioew2kkucRs2d3rsgYZ6TqnCOVdkGnzNC+eP5i3NcnnNCu8Bduj49HRQ3ZtfTh0e9iE8OW\n1RikpgRSwzpHqpeM1CAMMiNVZM7hQQf1PmwCaIr4uBFf5Cgrb7HwsbH2iV984pJ2Qt+L227rvDZY\nVao83o6NdZ4jFcr/r15d3evGx9+3vEW66qr8fgz6NYqk05zyOJBKq/QW7ktKCxbzXqvTkM0ZM6Sz\nz86+L01eIBXuu/JKXzgnntdbVUaqm2GocQGNOi8sp13QKZORipeViffTXXdtV/gL76WbQKohp1r9\nN8iMVJjAWeQANoqqWEeqH4YlIxWvASI1N5CS+h9IFVm3a889/TAHYCqITyrDd1GvQ/uSxsakxx/3\nv8cnLuGYX9UcqZ137t+Q+CqPt+us07kwRijpHZd67lX8Hg45xPdHp8yYJH3sY9LrXld/0Jo3b0ma\nWLWvTCBVNiPVy6iPrLYXmSM1a9bk4kh1ZaSKiDNSQZ2jN7oNpGJZ+2l4/+GYVwZ5kAzJWvV1izfE\npUt9adWjjurPaw+bfl3d6tWwBFKvfrV06KHSihV+kmv43JoyYTvsY8kJuHUGUuFLsonrrAF1iieN\n9zK0L2/9rPhkJg6kwn7ZlItAsSrbfOONnQOknXeu/mJjt+9h662lSy+tti1pymSk0tZ8jJ8j7e9i\n3c6R6uS5z02/vUhGKk0IdNMCxDJ6DaSKFk7rRuiLtAutvQRS8fOFtQ7JSFUoLPLVr1LQyVKdxxzT\nnBPhqoWNe9gDqWEZ2ie1DypHHtncjFS4Qh3U+bn+8Y/+Z5GMFDCVhOPG3LnpRQiKOvbY7Pvi54tP\nXDbdVHrnO/0iuU1T5ff1Lrt0d0LXq2GfV9spIxVX7cs6YS5bbCIvI9WNsA5SUvJ14jblBXPdZqQO\nPHDi/3sNpMLr9ysjZebfQ9k15bK2i1AN8Mgjy7erIada/Rei3CJp7SowR2qi/fYb/i/TYclISe2D\nl1lzi02EK0JBnfvEXnv5Sc0nn1zfawBNFE7g5s1rH0O6LeP9/Oen3xefzMRDacyk889vL8kw7Fav\nbl+UiY+34TvhVa/qf5t6MewX38J2WHaOVCwEUhdeOPnvYnnFNnr5ji0aSL3iFdn3xbqdI7VsWbnH\np4mz13VmpLI+7+uuay8OXVQyGAs22MC/zstfXr59nL5nCMOM+hVIDcPJ+DC58cZBt6CzYcpIhTaY\nNS8jte++/ucOO0y8vc72r7++L7MLYKKw3/UaSEnST36SPvQma2hf0yTXytpyS+muu/xnd9ddzVsE\nev/9B92CfN0O7Yu9+tXSWWf5pT6Sf5f2WnnfQ3UEUqee6tsWv8c6MlJVXGg184HmIIb2dauOufcE\nUhnCwX8QQ/vQDGGHHIa+i9vwylf6L4qXvnRw7Slj9939l1ZTAj9glKUN7ev25GP27PR5xllD+5ru\ny1/26/vMnZu/BtQwuvtuacGCQbciX9GhfXmB1E47+e05TN+Q8qv2pVm0yP8M61qVkVWEJYwqCWto\n/eAH7fuKZKTi91NEMijpdh+fNm1iINWvoX1VSFsYuRsEUhn6PbRvGE7GUc4wla4P28/atX5V+Ace\nGGx7yiKIAoZDHEgFVV/FHdVAKlx4nTdvsO3oRr+qG/aiU0YqbFfPPNN5zlqnRVrz5mhvv70f0tlN\n4JkVDCTPAYtWsA3bXK/FJrqtEh0yUiEjVufQvqqfKzkvu1tDcAo4nEKkSkYKWYZpMeXQhl4PpgCm\ntniOVF0XOEZlaF9SuPDatGxUUxTNSCV/z7JggfSnP5UPpMLfdmvddaVHH514W14gVcccqfj5n/tc\nP6SwG/3ISFUxXeFb3/Kf+cMPt2977LHe2hVwHTgDxSbQSZ1jgsuKM1IA0K0q50h1eg2p3qFA/dbk\njFQTdCpJXjaQ2nxz/zMte1Vnsaa0Yip55xF594VtrmxgF7+/Bx/sfj+cNq3+YhMbb+x/brFF98/x\nspf5atjxsayqQIrT9wwUm0AnBFIARk3a0L6ql6IYhqG8K1b4Sl1VCidpBFL1KFpsQipWjn7zzaWV\nK9O3x5tukm64oXwbi9h0U+lXv5p4W7dD+8bHpW9+U9pnn3JtqCpQTA7tq+PCyN57+37qZk5aUh1D\n+4bgcDacwhoYWRVWqtaUUtVoG6ahfYcf7n/2csUGAMJxLS42UbVhCKQOOUR6wQuqfc6/+Rt/QvvB\nD1b7vN0YxcXGqx7aF4pGpFWW3Gkn6ZRTyrWvqCIZqaJD+yRfsnu99XpvVzfC0L66i28tWVL98YiM\nVM0OPrieMokYHcOUkdp/f7ZXAL175BH/s86hfaN64XDGDJ/JGLTVq0dryGRQJiNVJJDaZRf/s6rq\nbUXtvbd02WUTb0v2V9GMVLeq2gdDIBUM+3ZHsQn07KqrpMWLB92K0TBMGSkAqEKYjD1vXjsDMIpD\n+0ZZvL7VKOmUkYqDg/HxiQvUpznxRP9ZlV3UtVdvfrM0f74fknf55f62budIdauuQKpJ50NTrtiE\nmS0ys4vM7E4ze9zMfmNmZ5rZ9MTjNjOzb5nZY2Z2v5l92Mwa8z7rdvjhkxc+RXcIpACMmpBpf85z\nRntoH5qraEaq0zwpM+kVr+h/htRMOv54afny9m3dzpHqpQ1VCHOkgiZlpKo6F25SRmo7SSbp7yT9\nj6TnS7pI0jqS3iNJrYDpGkn3StpL0iaSLpP0lKQP9L/JGGWdhhkAQNO8/vXSmjXSEUdIF1/sb2No\n3+BsuaV0112DbsVwCMW/igZS06Y1Z0mQXuZIDVKo2hcMc1tjp54qfehD1TxXY64LOeeudc6d7Jz7\nT+fc/zrnrpZ0vqQjo4cdLB9wneCcu905d62k0yW91cw43UWlhmmOFABUYeZM6T3vaQ+Nkuotf458\nt9/u5zyhXeq7SLGJ8fFmXeTMO48Y5ozUq14lLV3a/v+wnw+FY9n221dXlbtBm1mq9SQ9FP1/L0m3\nO+cejG67VtJnJe0o6bY+tg0jjqF9AEYZxSYGb86c0Vq0uBchkKpqaN8wySs2McxzpM45Z+L/h31o\nXx0ae13IzLaW9PeSLoxu3ljSA4mHPhDdB1SGjBSAUUZGCsOkTEYqDO1riqbOkUoa9vOhcCyr8v0P\nfDMzs3MlnZrzECdpe+fcr6O/2VTSCklfcc59saq2vOMd79D8+fMn3HbcccfpuOOOq+olMEIIpACM\nMgIpDJMyGanx8WZlpNZZZ+L/mzJHKqlJbY0tX75cy+PqH5LWrFlT6G8HHkjJz3O6uMNj7gy/mNkm\nkq6X9H3n3P9JPO5+Sbsnbtsoui/XBRdcoCVLlnR6GCCJoX0ApoY6Aqlly6Rdd632eTHadtxRuvnm\n7EAqDj7GxqRLLpE+85m+NK1nb35z9n1NykgN+7DdrIxUWtJk1apV2m233To+58ADKefcakmFplK2\nMlHXS7pF0kkpD/mRpPeZ2QbRPKmDJK2RdEcFzQX+iowUgFEWrvDXMUfqjW+s9jkx+j79aekNb8ie\nh5Mc2nfoof5fE2ywwcT/N2WOVNNUfSyTGjRHqpWJ+p6k38mXO9/QzDYys42ih10nHzBdZmY7m9nB\nks6S9Gnn3Np+txmjjYwUgFHG0D4Mk9mzpX32yb4/ObSvyZo6R6opRmqOVAkHStqq9e/u1m0mP4dq\nXJKcc8+a2cvlq/T9UNJjki6RdEa/G4vRR0YKwFRAIIUmSGakmoyMVD3qyEg1JpByzl0q6dICj7tb\n0svrb1E1Zs2Snnhi0K1AN1iQF8Aoq+tkq+knuRhOyTlSo6Lp2bVhVOWxbYQ2tWa67z7pj38cdCvQ\nDYb2ARhldQ3t45iJOpi1t9mmBx91Z4ymakbq6KP9YrwHH1zdc3ItfcDWW2/QLUC3wtBs13c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      "text/plain": [
       "<matplotlib.figure.Figure at 0x7f9aa8549630>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# Clearly unstationary \n",
    "# Take 1st difference\n",
    "goog_train['First Difference'] = goog_train['close'] - goog_train['close'].shift()  \n",
    "goog_train['First Difference'].plot(figsize=(10, 5)).set_ylabel(\"Close\")  "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 712,
   "metadata": {
    "collapsed": false,
    "scrolled": false
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.text.Text at 0x7f9aa84bdef0>"
      ]
     },
     "execution_count": 712,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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RsCQiIiIiBc7588EPlowB7rnH87nYWGcY3pQpzPKULOkESgAzSi+95P/7e/cG3nyTayf5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\nrd3H2zqnEIIAAAAASUVORK5CYII=\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7f9aa875ecc0>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# Exponential smoothing by taking log to make variance constant\n",
    "goog_train['Natural Log'] = goog_train['close'].apply(lambda x: np.log(x))  \n",
    "goog_train['Natural Log'].plot(figsize=(10, 5)).set_ylabel(\"log (Close)\") "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 713,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/png": 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1pcxAYEEy4E54EXBg90LVX0REREREcrdmDfz+93D44bDpptC8OXTsCPPmNXTNRBqHvHq6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\nOpmC27x5pP+/917m5/3zn5Hmmsuwifb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mTFyAu3aNXtCjj473cr/9ak4Lu/xy/18ac6Yb\nmnnzIn2tefO42OX7vs6cGYH28cf7/ybXKLSxY+PYl16aXcpbMl372WezO/7HH8f7kZz3IJPVq6sa\nfSZPjsakAw6IL53kZ/vQQ+N3lXrTtnChe48eh3vLlrXXvbIyxu+1aRNpW+PGFb43oaIiPtMffxwB\n3bnnRiNObWuqZ/Lqq9Ebu+uu8Xf0ox9FVkUuY56vuy7e81wm9Fm9Op43dGikpaX2lh10UHyuizWE\n5+2341yjRq29b9Kk+L395CfRK7P55tFS///+XwwrqulGPHmtWLgw1kVt1SomIsxluEzSuHFRh3P+\nP3v3HSdXWfZ//HOlJ6SQhJIESAIIIaFJQkcQpcMDKAoY4BHBRhOeIAKiiI8NeRQCKPxoIigQRFGa\ngUBEpZcUEEiAYEIK6aS3Tdnr98d1xp1MZnZndnda5vt+vfY1u2fuOXPP7r3nnOtcd7mw6XZTX5/7\nBuO3vx0X2IW0vVS358wsZWNS3WML8cILMZfHq6/GTb6XX87+9yjE+PHe7KEdF120cZbnrrtiX1/7\nWnQDbs5N3PTzx9SpEZRB3Bj8wx8K29dbb/l/5iK44YZoH605RvIzn4n958r2t4bFi2MMcteucVH+\n85/HzeRcY5w7dIjMUnN6ffz4x/E+hR53n302umqn6pDZLXbu3KhThw4b/28vWRI3bU87rfF1zFvz\nmiKb9esbgoOJEze+Hly+PG4kfec7cUNuzpzocfiJT0QvuoceimuR9es3Pke2htRNkGJPHFlJVq2K\n322qh8ywYdnLFbtNNGXKlLgR2L59tP+W2LAhzpkQwwmKOV9JptTNyOb2KJk+veF4dOON8Vkuuij+\nX4rRG2RzDbpfAW5K+9mAWcDlWcrmHXS7xwUuRMYx/Q+yfn2cGK+4IjJef/hDBC8ffBAnnTVrmv4D\nvvlmBL2FTDxyxx3RfbFLl7iznutib/nyuKhOdSO8++4Yi3XBBRFoHH10XCzuu2/DiSc1S/q//hUX\ngundw9escR81Kl6f7cTZvXsEBf37Ny8DmY/vfz/+wX/5ywicfvrTuGA+66yYyMYsPu8ppxQWmLbm\nwfDYY6Mu6VmE556L30/79pt2t583L/6Wl1/e9L7vvz8+X9eu+c+cvW5djJv98pejp8SNNzbcAd9m\nmzjYFKsnxw9+EEFaz54xPCDX/0NdXdy933XXwi4AzjwzbiJl/l+OGhXBdceO0f2vZ8/4vF26RDb9\nr39tKD97dlx8pbqRr1wZMxG3bXtiXt11ly+PgDLV7Wr33eN/bdy4xj/LjBkxZvnSS+P199wTf9Mn\nnogbAiefHCe1Dh0a/sd69YrsZK9e8X5/+EPT2aoVK+LCt1OnuBj42tfigvHww6MXT69eMXylMevW\nRZ3at4+6Ntf69RFwPfVUy7Jb+dqwIYYIpE9CuXhxHEP32y9+v6nxs4sWxXEj/ZjWo0d0Yz788Lgx\n+dJL7oceeqLfd18cPzt2jGNRSzLVqWEOu+wSN8JSbbm+PgLVSy6Jv3mqTjvttHHPlH/9K9rrl79c\n2PuuXRvZgmOPjRmVp02LLsjvvLNpkDd1atygbds2PvNee0XgeuqpcT743veiLf/hDw1tfunSyPzn\nCrQOOyy6eh94YJxr/vrXyKLefnt0h/3zn+NG0bRpcZN3woSG8dJ33x3H+tTfrhBXXx0B4YsvxmeH\nuPHSEpnnj0mToutic9TXx/H529+ObuaHHNKyumV6/fX4PRd7AshFi9w/+cn4/bZvH5nl0aPj/ceP\nj+PA66/HNdD//V8c5449NtrR22/n1yvv3/+OJEG+M5dns25dQ4+le++NYPv22xuyxc3dd7kDrGym\nTImu8tn+H9u1i/Njv37R7q68srCJtlLOPTeOubXmlVciaXLooQ1dzTNVQpuor2+93pJPPx038Uo9\nYdzy5XEuKmQyZve4Vlq/PrqT9+wZ19OF9hpujs0u6AbaA+uAkzK23wP8JUv5goLu+vrIfEDD4P0n\nn2xYLqRv3wgEsx3IevfOPsFHfX2cgLp0iYuoX/6ysDssixZFw0m9x/XXxwXP2LGxnw0b4kKxS5f8\n7kAtXRqBYebMqZ/9bBykp06NQB3iouvHP4478q+9FhdGo0dHRrd79yj34Yf5f5ZC/P3vDcFTtpPh\nrFlxEdurV1xUT50av481a+LC7YEHIgN/2GER4Lz4YmRhhg490f/+96h3cy9GnnwyAj2I7nWZliyJ\nmxwQF1I33hgHv0svjQuHfA9cc+bEgX2bbRrPdk6YEHe7d9893nO33eJv2bZtBLj5dKVtDePGNdRh\nwIA4mT/4YPzuf/e7+D3813/FRVch4/LcG+YN+M534u9+wQUNd1/33z8u4H70oxjz9tBDuS/S77wz\nLrDOPz8Cr7Zt3T/zmcJOkKmbGwce2PD/n63nQn19fPbUbLW77BI3qdKPG507x82wK6+MbtgPPRSB\naupC9KOPYnbUVBB2//3x906/0TV1aozdSnVDPPHETS9k585tGF98ySWbPr9hQ9zASHVh/J//Kc7N\ntGL6/e+j7gceGMFily7x9917703v9m/YEEHn2rURiF5zTYyPPP749L/PiQ6R2WiNsbbu0Y5TAf9O\nO8VxItUm+vSJv+NPfhJtPNVz6fOfj2CxTZu4WZVPd/9Md921aRdUcB80KP5v1q6NXjZ77hldpn/9\n6/hfuvDCCKg/85n4PfbvHzeCU9nd226LgKtr13jNqlXRfu+8M467f/hD3LQ46aS4wO/bt+G90yfn\nyvzq2TNujn32s80fM3zTTQ3769o1/ndamulr7Yvp886LIMis6cnOKtmcOdH7LJ8l/v70p8gUpoZS\nmUWb69s3zhvnnhuB+ksvxf/BFVfEOXCnnVo+xKy+PlYaSG+Dxx/fsm79lRBg5TJ7dtzUuvvu+Pvc\ndVckZG68Mc45hx0Wx52OHeP42Zhp0yLzeO210VOya9f8Egi1qJLbRLXZf/+4kXfVVXEOGjIkriOP\nOSZuBn/pS5Fk+vKX4zz5X//VcGyBOI+VSr5Bt3kEqBXPzPoCHwEHufuraduvAw5z94Myyg8Fxo8f\nP56hQ4fm/T6HHAKLFsGFF8IPfwh77QXXXQf77gtm8dycOTBvHnz8MaxZA48/Dn/8I+y+OwwZAh9+\n2FBm3To44QR46CHo0qXwz+0O48bBiBHw4osN27t1g+7d4aOPYOxYOOKIwved8vLL8bndoVMneOwx\nOOqo5u+vperqYPhw6NkTfvxj6Ncve7mJE+NzL14MbdpAfX3Dc/vsAytXwvvvx8/x/EnAYwC0bRt/\n0z59oEeP+F2mP3bqBCtWwLJl0KEDbL01PP88/OY3cMABcP758N//HW0i09q18Kc/wQMPwF//2rD9\nhz+Ea67J//ewYEG0vwED4Be/iPeqq4vPNXMmTJ4Mt9wS9T3ySPjWt+Cww6JcfX185lLasAHGjIGH\nH4ZHHon/lZTOneN3/YtfwBe+UNh+3eHss+G++2I/vXvD5z4Xv//99st/P+vXwyWXwLPPxv/t6afD\npEkn8dhjjxVWIeL3O3s2PP00fPWrse1Tn4rPt3YtfP3r0fYOOCD+n7bZJsosWxbbt90Wttsuv7/R\npElwzjnw2mvx8447wg03xO859Tv53vfidzJkSPY2uWEDXHstXH11tOWDD47/kS5d4Jln4uv44+Gn\nP4VPfrLgX0fZrV8P3/42zJgRv9f+/aN99O1b2H4WLYJZs+D8809i9OjH6N49+++zJcaMiXYzZUoc\nb845Bw4/PI5JKe5w991w221xfLvwwvjq0KF57+kex4x334Xly+Pc9cwz8X+6zTawZEns+5//jGNO\nYx5/HC67DD74INrx44/DsGH51eH552HnneOYnjqWzZgR9Vm/Pr7++U+49944/p15ZrTxQi1dGufF\nnXeG3XaL43lLnXRS844VuaxaBXfcAQsXwo9+VPrjdTktXgxvvRVt6IMPYtuaNXE+W7s2fu7UKa5z\nDjwQbrwRdtqp5e+7ciX84Afxu//f/204LjdXa7eJUqurg/POg3vugW9+E3r1iuNQu3bx2KVLHA9v\nvjnOIRDXuYccAj/7WZyLZWPV3iYqyR13RLts1y7O5926wRtvwJZbxv/w6tUNZc2gfXs45hjYaqu4\nLjr11NhWChMmTGBYnAiHufuEXOU256D7YODF++67j8GDB+f9PlOnwrnnxh90yJC4uO3Vq/HX1NfD\nc8/B3/4WF+IDB8YfvXfvCDQOPjgaTUutWxcHybffhvfei5P1HntEI2upd9+N/e26a8tPRKWUOnnP\nmxf/ZD16wKBB8RlWr47AtL4+AokRI0bwne+M5MMP4+/09tsRBK1YESfjFSsavnePv1nXrnExsGZN\nXMgfdxx87Wv5XyC99x789rew//5w8skbX1jn46234Ior4vOla9cu2tdxx8UNgNZoX61t6dI4Ye+w\nQwQXLeXe+gHQiBEjGDlyZIv2MW1a/J1++9sIIAAGD4ZvfCMuGJsbKGVasiQC8Msvj7bdtWu8x/HH\nxw2qfEyeHMHIO+9E0Ld+fVxYXXZZy27cbW5ao11Ug4kT4dFH40bO8cfHDZl8rVsXx8FCj2n5WLYs\ngrFBg2CLLVp//81RK22inJYtixtfa9fGeaNz53LXqHGbQ5uor4frr4cXXojAur6+4XH16vgfP+OM\nuH7p1Cn/c02t2hzaRKVwj+NBhw4RcFeyyZMnc9ZZZwEc4u4v5SpXTUF3e2AV8AV3fyxt+z1AD3f/\nfEb5M4D7S1pJERERERERqTVnuvsDuZ6swPxYdu6+zszGA0eQ9BE2M0t+vjnLS8YAZwIfEjOei4iI\niIiIiLSWTsBAIvbMqWoy3QBmdhoxcdp5wGvACOCLwG7uvqCMVRMRERERERHZRNVkugHc/SEz2wr4\nEbAt8AZwjAJuERERERERqURVlekWERERERERqSY1tEiFiIiIiIiISGkp6BYREREREREpEgXdIrJZ\nSlY3EBEREREpKwXdUvXMrE3y2LbcdZHKYGY9gLZpPysAF8xsGzPb2sw6JD/rHFjjzOwTZnZUuesh\nlcPMdjeza8xsQLnrIpXBzAaZ2R1mdli56yLVSxccUrXMrL2Z3QrcnmyqL2d9pPySNnELMBoYbWZX\nm1lb14yRNS1pF7cBzwGPA4+ZWUd31zGjhpnZXsD7wCgFWGJmHczsbuAtYEtgTpmrJGVmZm3MbCSx\nWlI3oHuZqyRVTEG3VCUzOwAYS6zTfraZHeLurmx37UqyVZOA3YFfADOBM4EfJs8r212DzOyLwGRg\nN+B84DfALsD15ayXVIQOwBhgHXB5mesiZWRm5wILgUHA3u4+wt3XJs/p3FG7jgP2A4519+Hu/kTq\nCbULKZSCbqlWBwJTgLOJzNX1AO6+oZyVkvIws+7AacQF9FHu/ggRYD0I7GdmXZTtrlmHAw8AR7r7\n3939TuB5oK6stZJKMBRYTNyc+4aZ7V/m+kj5fBWYBZzg7m+Z2T5mdqSZDSRuzijIqk1fA95w93+a\n2afN7Mdmdo6ZDdA1hRRKQbdUlbQxmA8DN7j7k8AdwE5m9tWkTLty1U/KxoAXgLvcfZ2ZWZKl6Ax0\ndvdVumCqLWm9Xn4C3Onu65PtA4A9gdlJjxmpXXXAdHd/FngduAb+cxNPakDa9cJlQEfgYjN7FPgT\ncDNxg+4WAAVZtcXMugFbAX8zs+8TN/H3BP4XGGtmJ5azflJ9FHRLxTOz45NHS43BdPdZ7j4pKTKO\nOBhek4zfXa8Aa/OW1ibaALj7Une/193fSIqkjm09gKlJGV0wbeYyjhUbANx9rrvPTLZ/C5gGrAJO\nBJ5MJkzqWK46S3Glt4ksTw8Fuibfnwkca2ZPAmPMbLcSVVFKLOM4sT55fBn4J/BdovfDF4g2cQXw\nZTO7JPWaMlVbiijbccLdlwPtiWz3rsApxJDGAcR1xbk6TkghFHRLxTKzE8xsFvCEmR2cjNne5ITn\n7h8D9wFrgJ+nXl7CqkqJZGkT9TlmoE5NkLUPkQHXxdJmLN9jBbAM+DRwmLsfDnyLuKjuU7raSik0\n1ibS2sY2wCPJ90cQme8jgF+6+7slr7QUVSNtInUOuYIYqvY9d3/D3Se6+wPEdcUVoJu3m5tcbSLt\nGHEHMa77AOADd1+ftIGfJNt6lqfmUo0UdEtFMrNPARcBfwGeAm6CRk94bxEHx68nY23qzexwdRPc\nfDTSJjaZgTo5cQ4EdiIJupNtOyX70rFvM5HPsSJ1AZX0hng+7bkJxHjNXUtaaSmqPNpE6oK6jshi\nvgb8LPlaAQwsZX2l+BprE+6+Icl2LwB+5u4fZbx8JuBmtktJKy1F1USbSB0rUj0g1pO2DCkxHKUb\nsF3JKixVTxeeUlHSgqF5wNPADcDVwJC0MdubtFt3Xw08CkwEHjKzccS4716lqLcUT3PbBHAsMMPd\n30smxXkVeMXM2mmpqOpXSLto5Gbd54BnSW7MSHXLt00kN2U7E8v/nAC8Buzj7j8BrgN+kdy0kypX\nQJtwAHdflWU3BwDPufuUElRZiizPNpEKsN8HbgR2Bs4zs1SQfRKR7HmuVPWW6mfqKSOVwMz2Jrru\nrEzb1ja5A92O6N71ZWAHd88667CZ7QHcT0x08f+A/yz5IdWnuW0iyVi4md1MdBueBVwC/Ba4MFf7\nkerQ0mOFmfUnxuldCRwPXOXu96baTWk+hbSmQttE2nP7ASvT5gchGd9/MXC9bs5Vr1Y4TgwgMpvf\nAz5LnDtG6zhRvZpxnGiTOgZYzAdyJbCcWJr0aKJXxM9K/kGkainTLWVlZl8ws5lEVvoNM7vSzHok\nT9cnJ7j1xOyha4CfJq+zjP18CniCmCBpF3e/UAF3dWppm0gC7rbEnegvEuO693T3ryngrl6tcaww\ns12JGzD/IDIXn3H3e0FjNatRc9tEiru/nh5wJ9vq3P0XCrirUysdJwYB3yG6Fu8EHOPuo0HHiWrU\n0uMEgLv/iphI7SbgXWCoAm4plDLdUjYWa6LeS2SlXyImOLoG+DVwnbsvTbsLacB5xBIeu7r7NDPr\nAHRw9xVm1g/o7+6vlOfTSGtopTbRjphIbQQw3t2fLsdnkdbTCu2iI+DEuLzDgLXu/lI5Pou0jtY6\nVniynKCCqerXiseJDcSEeqvd/flyfBZpHa10nOjoMZO5SIso0y0ll3ZHeSixjvLd7j7O3a8HriW6\ncp0N4A3L/jjwB2Ls3UgzGwo8Dnwu6QI0WwF39WrFNvEEcIq7r3H3axVwV7dWPlacljz9DwXc1auV\n28QpCrirXxGOE/Xu/rQC7urVym3i5MzelSLNoaBbSi7tAmdHYpKKDWlP/xr4ADjBkplCrWEypEXA\nnUS34deBtcDD6gZY/VqxTdQBfy5RtaXIWrtdKLiqfkU4f6hNVDkdJySTjhNSiRR0S9GZ2VFmdrOZ\n/U/S1SflReBQkjVyky4+y4E/ErOOfwpiSSgz62BmFwC/IWaL3MvdT/SYtVyqTJHbRLbZZ6UKqF1I\nJp0/JJOOE5JJxwmpBgq6pWjMrK+ZPQ7cRxzczgWeTjsgPg18CFyR/jp3f5SYXXhI2uaexFq657j7\n4e7+TpGrL0WgNiHZqF1IJrUJyaQ2IZnUJqSaaCI1KQoz6wLcCnQCvuvu05LtrwKT3P0cixmmzwDu\nAQ5NH2dpZg8Dndz9hJJXXopCbUKyUbuQTGoTkkltQjKpTUi1UaZbiiLpolUH3OMxA2S75KnRwOCk\nzAbgIeBR4E4zOxTiziUwEBhV6npL8ahNSDZqF5JJbUIyqU1IJrUJqTbKdEvRmFl7d1+XfN8mGTNz\nP7DS3b9hFrPGmlkn4EniIDkR2IvoDnSau39UrvpL61ObkGzULiST2oRkUpuQTGoTUk0UdEtJmdkL\nwJ3ufq+ZGdDGY33EbYmD4AHANHe/v6wVlZJRm5Bs1C4kk9qEZFKbkExqE1KpFHRLyZjZTsBLwAnu\nPj7Z1sHd15a3ZlIuahOSjdqFZFKbkExqE5JJbUIqmcZ0S9EldxohlmZYkXYgvAa4ycy2KVvlpCzU\nJiQbtQvJpDYhmdQmJJPahFSDdk0XEWkZb+hOsT/wsJkdBdwBdAH+293nl61yUhZqE5KN2oVkUpuQ\nTGoTkkltQqqBupdLSSSTWLwF7AysBa5x9+vKWyspJ7UJyUbtQjKpTUgmtQnJpDYhlU5Bt5SMmT0D\nTAEudfc15a6PlJ/ahGSjdiGZ1CYkk9qEZFKbkEqmoFtKxszaJmsmigBqE5Kd2oVkUpuQTGoTkklt\nQiqZgm4RERERERGRItHs5SIiIiIiIiJFoqBbREREREREpEgUdIuIiIiIiIgUiYJuERERERERkSJR\n0C0iIiIiIiJSJAq6RURERERERIpEQbeIiIiIiIhIkSjoFhERERERESkSBd0iIiI1wsz+bmY3lLse\nIiIitURBt4iIiGzCzD5tZvVm1r3cdREREalmCrpFREQkGwM8eRQREZFmUtAtIiKyGTKzLmb2OzNb\nbmYfmdmlGc+fZWavm9kyM5tjZveb2dbJcwOAZ5Oii81sg5ndnTxnZvZdM5tqZqvMbKKZfaG0EnE9\njgAAIABJREFUn05ERKR6KOgWERHZPP0SOBQ4ETgaOBwYmvZ8O+D7wF7AycAA4LfJczOBVCC9C9AX\nuCT5+SrgLOAbwBBgJPB7Mzu0SJ9DRESkqpm7l7sOIiIi0orMbAvgY+AMd/9zsq0nMAu43d0vzfKa\nfYFXgW7uvsrMPk1ku3u6+7KkTAdgEXCEu7+a9to7gc7uflaRP5qIiEjVaVfuCoiIiEir2xloD7yW\n2uDui83svdTPZjYMuAbYG+hJQ++3/sC7Ofb7CaAL8IyZpY/1bg9MbLXai4iIbEYUdIuIiNQYM+sC\nPAU8CZwBLCC6lz8FdGjkpV2Tx+OB2RnP1bVyNUVERDYLCrpFREQ2P/8G1gMHEF3KU93LdwX+AewG\n9Aa+6+4fJc/vn7GPtclj27Rtk4jgeoC7v1CsyouIiGxOFHSLiIhsZtx9pZn9BviFmS0iMtk/ATYk\nRWYQQfXFZnYbsCcxqVq66cSSYSea2WhgtbuvMLNfAiPNrC3wAtADOARY6u6/L/ZnExERqTaavVxE\nRGTz9B3geeAx4Onk+/EA7r4QOBv4IvAOcDnw7fQXu/tsYsz3z4G5wK+S7VcDPwauJDLfTxLdzacV\n+wOJiIhUI81eLiIiIiIiIlIkynSLiIiIiIiIFImCbhEREREREZEiUdAtIiIiIiIiUiQKukVERERE\nRESKREG3iIiIiIiISJEo6BYREREREREpEgXdIiIiIiIiIkWioFtERERERESkSBR0i4iIiIiIiBSJ\ngm4RERERERGRIlHQLSIiIiIiIlIkCrpFREREREREikRBt4iIiIiIiEiRKOgWERERERERKRIF3SIi\nIiIiIiJFoqBbREREREREpEgUdIuIiIiIiIgUiYJuERERaRYzm2Vmd5S7HiIiIpVMQbeIiEgzmdnZ\nZlZvZkPLXI+bknrs1EiZnyZl9mjFt64HvBX3JyIistlR0C0iItIylRB03p88ntFImS8Bb7r72634\nvjsD57fi/kRERDY7CrpFRESqnLu/BnwADM/2vJkdBOxIQ3DeImbWKXnfde5e3xr7FBER2Vwp6BYR\nESkyM9vazH5jZnPNbLWZvWFmX85SrpeZ/d7MlprZYjP7rZntlXQL36R8hvuB3czsk1meO4PoCv5g\n2nt91cz+Zmbzkjq9bWZfz1KnWWb2ZzM71szGmdka4Ny05+5IK9vbzK43s7fMbLmZLTGzv2Z2aTez\nI5LP9HkzuzrZzyoze8bMdsxSh4PM7Mnkd7Ii+f1dmFFmsJk9bGYfJ/t6zcyOb+J3JiIiUnTtyl0B\nERGRzVmSFf4nsBPwK+BD4FTgHjPr4e6/SsoZ8ASwL3Ar8B5wMnAv+XVhvx+4hgiw30h7/zbJ+z3n\n7rPSyp8PTAQeBdYn73W7meHud6aVc2B34D7gNuB2YHLac+k+AZwA/Cn5nNsm7/MPMxvi7vMzyn8f\nWAdcB/QCLgd+BxyaVv9jkzrOAq4H5gNDkve5JSmzJ/A8MB24FlgFnA48Zmafc/cncv/aREREisvc\nK2EomoiISPUxs7OBu4H93H1CjjKXADcAZ7r7g8m2tsBzwB5AP3dfaWanEMHqxe7+67TXjwU+A5zj\n7r9roj6vAn3cfUDatmOAJ4Gvu/tv0rZ3dPe6jNc/A2zv7oPTts0E+gFHuPs/MsrPBJ50928kP7d3\n93UZZXYkgvRr3P26ZNsRwDPAW8BQd9+QbB8B/BIY7O7vJ7+nqUBdUm5Fjs/9D6ArcEBqX8n2V4Cu\n7t6ak8eJiIgURN3LRUREius4YG4q4AZIAsObiUDx08nmY4G1wF0Zr78FsDzf6z5gezM7LG3bGUTQ\n+qf0gukBt5l1N7PeREZ+VzPrnLHfKZkBdzbpAbeZtTWzXsByYrx5thnef5MeJBPZaiN6BUBk/XcA\nRjYScG8FHAY8BGyZdHHvnWwfAww2s62bqruIiEixKOgWEREprgHAlCzbJxMBZior3R+Y4+5rMsp9\nUMB7PUiM3T4DIpsNfA4Y7e5L0wua2aFm9qyZrQCWAAuAHyVP98jY77R83tzM2pjZt81sCrAGWEh0\nBx+cZZ8AMzN+Xpw89kwedya6sL/TyNvukjxeS3yG1Nd84OrkuW3yqb+IiEgxaEy3iIjIZsLdFyRd\nxL+QTDR2EpFN32jWcjPbheje/TYwggh+1yblv8WmN+VX51mFHyRfdwB/I4LoeuDXWfYJsCHLNsg/\ns0/afq8DxuYok9dNAxERkWJQ0C0iIlJc04E9s2xPjZv+MK3c4WbWKSPbvQuFuR84BjieWEJsGTFB\nW7qTgPbACe4+L7UxGf/dEl8Annb389I3mllPYiK0Qv2bCMD3IMbA5yoDsNbdn23Ge4iIiBSVupeL\niIgU12igj5mdntqQTBD2LWK8cyqYHAN0AL6eVs6AC8lv9vKUR4jM9AXEePKH3X1tRplUhvk/1wFJ\nYNzUsmRN2UBGltrMhhOzmGfK5zO9DswARphZ92wF3H0u8AJwvplt0o08GdstIiJSNsp0i4iItIwB\nXzWz47I8dyPR1fqbxBJh+9KwZNhBwCXuvjIp+wjwGnB90v37XSIjvWXyfF6BdzIT+iPEuG4HHshS\nbAzRHXu0md0JdCeC/Tm0bPzzE8BVZnYX8AqwN5Ftz9a9u8ku5O5eb2YXAH8B3jCz3wJzgd2AQe7+\nX0nR84mbF28nn2caEegfknyefVvwmURERFpEQbeIiEjLOHBejud+6+6zzezTwM+JTHJ3Yg3ur7j7\n7/+zkwgwjwduSsrVE+tT/5iY1TtzgrXG3E8Eu7Ozdbl298lm9kXgJ8QSXbOJNcRXEOtwZ36+XAF/\n5nM/BjoTa2R/CRhHzMp+Q5Z9NLbP9LqONrPPEmuQX0YE6x8Qa4anyryT3ND4IXAOMRHbfGId8h8h\nIiJSRs1apzuZnOUyoA/wJvAtd3+9kfKHA9cDuxPdxH7q7vemPT+EOCkOI2Zx/R93v7ml7ysiIlLt\nzOxzwMPAp9z95XLXR0RERApT8JjuZEza9cQd532I4HdMrjFTZjaQ6G72N6Kb2U3AXWZ2VFqxLsRE\nKFcQXdta/L4iIiLVxsw6Zfzchhj7vQyYUJZKiYiISIsUnOk2s1eAV939kuRnI5Yaudnd/y9L+euA\n49x9r7Rto4Ae7n58lvLTgJGZme5C31dERKTaJOOROwMvAx2J2cAPBL6rc52IiEh1KijTbWbtiS7g\nf0tt84jaxxITwmRzIJuumzmmkfKt9b4iIiLV5llgEDHW+qfE+O+LFHCLiIhUr0InUtsKaAvMy9g+\nj7hIyKZPjvLdzayju9cV6X1FRESqiruPAkaVux4iIiLSejbb2cvNrDdwDLE0SyEzvoqIiIiIiIg0\npRMwEBjj7h/nKlRo0L0Q2ECsfZluW2LdzGzm5ii/LM8sd3Pf9xhiyRQRERERERGRYjkTeCDXkwUF\n3e6+zszGA0cAj8F/JjQ7Athkia/Ey8BxGduOTrYX830/BLjvvvsYPHhwvm8lm7ERI0YwcuTIcldD\nKojahGSjdiGZ1CYkk9qEZFKbqE2TJ0/mrLPOgiT2zKU53ctvAO5JguDXgBHEkl/3AJjZtUA/dz87\nKX8bcGEyi/ndRKD8ReA/M5cnE6UNAQzoAGxnZnsDK9z93/m8bxZrAAYPHszQoUOb8TFlc9OjRw+1\nBdmI2oRko3YhmdQmJJPahGRSm6h5jQ5nLjjodveHkrWxf0R0734DOMbdFyRF+gA7pJX/0MxOAEYC\nFwOzgK+6e/qM5v2AiUBq/bLLkq9/Ap/N831FREREREREKkqzJlJz91uBW3M8d06Wbc8RS37l2t90\n8li+rLH3FREREREREak0Ba3TLSIiIiIiIiL5U9AtNWP48OHlroJUGLUJyUbtQjKpTUgmtYnc1q8v\ndw3KQ21CGmPu3nSpKmRmQ4Hx48eP16QGIiIiIiIlsO++sNNO8MAD0K5ZA1lFqseECRMYNmwYwDB3\nn5CrnDLdIiIiIiLSYtOnw/jx8Mc/wk9+Uu7aiFQOBd0iIiIiItJib78dj/vuC6++Wt66iFQSBd0i\nIiIiItJi06dD+/Zw4IEwY0a5ayNSORR0i4iIiIhIi02fDttvDwMHxveb6dRRIgVT0C0iIiIiIi02\nbhzsvjsMGAArV8LixeWukUhlUNAtIiIiIiItUl8PL78Mn/409O8f26ZPL2+dRCqFgm4REREREWmR\nGTNg9WrYY4/IdIOCbpEUBd0iNey22+CGG8pdCxEREal2b70Vj4MGwVZbgRksWFDeOolUCi1ZL1Kj\n1q2D88+P7y+6CDp0KG99REREpHrdcUeM5x44MALuHj00plskRZlukRr11FMN38+eXb56iIiISHWb\nNAmeeAIuuywCboCePRV0i6Qo6BapUfff3/D9xx+Xrx4iIiJS3caMgc6d4YwzGrYp6BZpoKBbpEZ9\n8AEcfXR8v2hReesiIiIi1WvuXOjXb+Ohagq6RRoo6BapUcuWwY47xvfKdIuIiEhzzZ0LffpsvG3L\nLWHJkvLUR6TSKOgWqVHLlsF220H79gq6RUREpPnmzoVtt914W7dusHx5eeojUmkUdIvUqGXLYmbR\nbbeFOXPKXRsRERGpVvPmbZrp7tYNVqwoT31EKo2CbpEatG4drF4N3bvDgAEwY0a5ayQiIiLVKlum\nu2tXZbpFUhR0i9Sg1Emwe3fo3x+mTy9vfURERKQ6bdgACxZkz3Qr6BYJzQq6zexCM5tmZqvN7BUz\n26+J8oeb2XgzW2Nm75vZ2VnKnGpmk5N9vmlmx2U838bMfmxmU81slZl9YGbfb079RWrd0qXx2L17\n3JmeP7+89REREZHqtHAh1Ndnz3Sre7lIKDjoNrPTgeuBa4B9gDeBMWa2VY7yA4EngL8BewM3AXeZ\n2VFpZQ4GHgDuBD4JPAo8YmZD0nZ1JfBN4AJgN+By4HIzu6jQzyBS65Yti8fu3eOkuHJleesjIiIi\n1WnBgnjceuuNt3frBnV1MaRNpNY1J9M9Arjd3X/n7u8C5wGrgHNzlD8fmOrul7v7e+5+C/CnZD8p\nFwNPuvsNSZkfABOA9ID6IOBRd3/K3We4+5+Bp4H9m/EZRGpaetC9xRYKukVERKR5Fi2Kx969N97e\ntWs8pq45RGpZQUG3mbUHhhFZawDc3YGxRFCczYHJ8+nGZJQ/KI8yLwFHmNkuSV32Bg4BRhfyGURE\nQbeIiIi0jsWL47Fnz4239+sXjx99VNr6iFSiQjPdWwFtgXkZ2+cBfTYtDsn2bOW7m1nHJsqk7/Pn\nwB+Ad81sLTAeuNHdHyzoE4jIJkF3XV1MhCIiIiJSiFSmOzPo3nHHePzww5JWR6QitSt3BQpwOnAG\n8CVgEjH2+yYzm+3uv8/1ohEjRtCjR4+Ntg0fPpzhw4cXs64iFW3ZMjCLgDvV/WvlygjCRURERPK1\naFFcS7Rvv/H2bbeFjh0VdMvmY9SoUYwaNWqjbUtTsxM3odCgeyGwAciYn5Btgbk5XjM3R/ll7l7X\nRJn0ff4fcK27/zH5+Z1kkrbvAjmD7pEjRzJ06NBcT4vUpGXLIsBOBd6goFtEREQKt3gx9Oq16fY2\nbWDAAAXdsvnIlridMGECw4YNa/K1BXUvd/d1RLfuI1LbzMySn1/K8bKX08snjk62N1bmqIwyXYiA\nP109WmtcpGArVjQE2+lBt4iIiEghFi3KHnRDdDGfNq209RGpRM0JWG8Avm5mXzaz3YDbiID4HgAz\nu9bM7k0rfxuwk5ldZ2aDzOwC4IvJflJuAo41s0uTMj8kJmz7dVqZx4Hvm9nxZjbAzD5PzID+52Z8\nBpGatmYNdO4c36ey25pdVERERAq1ePGm47lTBg5UplsEmhF0u/tDwGXAj4CJwF7AMe6erNJHH2CH\ntPIfAicARwJvEIHyV919bFqZl4nx2t9IypwCnOzuk9Le+iJiqbFbiDHd/wf8P+AHhX4GkVq3Zg10\n6hTfb5sM7Jiba4CIiIiISA6NZboVdIuEZk2k5u63ArfmeO6cLNueIzLXje3zYeDhRp5fCVyafIlI\nC6QH3dtsE48KukVERKRQixbF2O1sdtwRliyJry23LG29RCqJxkOL1KD0oLt9e9hqK5gzp7x1EhER\nkeqzcGHu7uU7JH1fZ80qXX1EKpGCbpEaVFfXEHQD9O2rTLeIiIgU5uOPo/v4Hntkfz41Wevq1SWr\nkkhFUtAtUoPSM90Affoo0y0iIiKFeTlZZ+iQQ7I/n7rWWLOmNPURqVQKukVqUGbQ3bevgm4REREp\nzIsvxo37HXfM/nxqpRRluqXWKegWqUHZMt3qXi4iIiKFePHFyHKbZX9emW6RoKBbpAblynS7l69O\nIiIiUj3WroXXX4eDD85dRplukaCgW6QGZct0r14Ny5eXr04iIiJSPSZOjOuJXOO5QZlukRQF3SI1\naPVq6Nix4ec+feJR47pFREQkH9OmxePgwbnLtG8Pbdsq0y2ioFukBs2fD1tv3fBz377xqKBbRERE\n8pHKXnfp0ni5Tp2U6RZR0C1SY5YvhyVLoH//hm3dusXjihXlqZOIiIhUlzVroE0baNeu8XKdOyvT\nLaKgW6TGzJwZjzvs0LAt1dW8rq709REREZHqU1e38fwwuSjTLaKgW6TmpILu9Ex3Kuheu7b09RER\nEZHqkzkpay7KdIso6BapOTNmxHqa/fo1bFOmW0RERAqRb9CtTLeIgm6RmjNzZgTc7ds3bGvXLgJx\nBd0iIiKSjzVrNl4JJRdlukUUdIvUnBkzNh7PDRFwd+yooFtERETyozHdIvlT0C1SY2bO3Hg8d4qC\nbhEREclXIWO6FXRLrVPQLVJjsmW6ATp0UNAtIiIi+SlkTLe6l0utU9AtUkPcG890a/ZyERERyUch\nY7qV6ZZap6BbpIYsWBDZ7GyZbnUvFxERkXwp0y2Sv2YF3WZ2oZlNM7PVZvaKme3XRPnDzWy8ma0x\ns/fN7OwsZU41s8nJPt80s+OylOlnZr83s4VmtiopN7Q5n0GkFmVboztFQbeIiIjkq64uhqY1RROp\niTQj6Daz04HrgWuAfYA3gTFmtlWO8gOBJ4C/AXsDNwF3mdlRaWUOBh4A7gQ+CTwKPGJmQ9LKbAm8\nCNQBxwCDgW8Diwv9DCK16qOP4nG77TZ9TkG3iFSDhx6C7beHF14od01Eatu6dfkF3VoyTKR5me4R\nwO3u/jt3fxc4D1gFnJuj/PnAVHe/3N3fc/dbgD8l+0m5GHjS3W9IyvwAmABclFbmSmCGu3/N3ce7\n+3R3H+vu05rxGURq0qpV8di166bPKegWkWpw991xA/HQQ+Gvfy13bURq17p10L590+WU6RYpMOg2\ns/bAMCJrDYC7OzAWOCjHyw5Mnk83JqP8QXmUOREYZ2YPmdk8M5tgZl8rpP5SXuvWlbsGkgqqs018\noqBbRKrBBx/ApZfC4MHw6KPlro1I7co36FamW6TwTPdWQFtgXsb2eUCfHK/pk6N8dzPr2ESZ9H3u\nRGTN3wOOBv4fcLOZ/XchH0DKY9Wq6IJ0++3lrkltW7MG2rSBdu02fU6zl4tIpXOHWbNg4MDIdL/4\nYrlrJFK78g26O3RQ4kUky6V3xWoDvObuVyc/v2lmexDd23+f60UjRoygR48eG20bPnw4w4cPL1pF\nZVPPPx+Pv/oVfPOb5a1LLUvNNGq26XPKdItIpVu4MI5T228PPXrAHXfAnDnQt2+5ayZSe/INutu3\n10192TyMGjWKUaNGbbRt6dKleb220KB7IbAB2DZj+7bA3ByvmZuj/DJ3r2uiTPo+5wCTM8pMBk5p\nrMIjR45k6FBNcF5uk5O/XH19eetR6xpb3qNDB1i+vLT1EREpxKxZ8bj99rDzztC9O9x1F1x9deOv\nE5HWp0y31JpsidsJEyYwbNiwJl9bUPdyd18HjAeOSG0zM0t+finHy15OL584OtneWJmjMsq8CAzK\nKDMImJ5P3aW8UrNmf/hhdA+U8qiryz6eG5TpFpHKlx509+oFe+/dcFNXREpLmW6R/DVn9vIbgK+b\n2ZfNbDfgNqALcA+AmV1rZvemlb8N2MnMrjOzQWZ2AfDFZD8pNwHHmtmlSZkfEhO2/TqtzEjgQDP7\nrpntbGZnAF/LKCMVavbseFy9GmbMKG9dalljmW4F3SJS6WbNijkpttkmft5lF5gypbx1EqlVhWS6\n6+thw4bi10mkUhUcdLv7Q8BlwI+AicBewDHuviAp0gfYIa38h8AJwJHAG8RSYV9197FpZV4GzgC+\nkZQ5BTjZ3SellRkHfB4YDrwFfA+4xN0fLPQzSOlNmgQnnxwH3j//udy1qV0KukWkms2YEeO327aN\nn/fZB958E1auLG+9RGpRIZnuVHmRWtWsidTc/Vbg1hzPnZNl23NE5rqxfT4MPNxEmdHA6PxrKpXg\ngw/gjTfgqqtiAq9Ro2DEiKZfJ61vzZrGu5er+5eIVLI334Q99mj4+cgj40L++efh2GPLVy+RWrR+\nff6ZbohrjFw3/kU2d83pXi5SkIcegi22gBNOgDPOgNdfhz/+sdy1qk11dcp0i0h1codx42C//Rq2\nDRoE220HzzxTvnqJ1CplukXyp6Bbiu7RRyPg7tIFPvc5OPVUOO00eCnX1HtSNOpeLiLVauZMWLAA\n9t23YZsZHHWUgm6RcihkTDeoN53UNgXdUnSzZsHgwfF9+/bw4IOw1VZw4YXw/e9rGbFSUtAtItXq\n9dfjMT3oBhg2DN59VytjiJSaMt0i+VPQLUW3eDH07Nnwc5s2MaZ70SL46U9h4sTy1a3WaMkwEalW\n48ZFV/K+fTfevuWWcTG/Zk156iVSq5TpFsmfgm4pqrq6WCZsyy033n7VVbG2aps2CrpLqbFMd4cO\nCrpFpHJNnRpjuDOlzi9LlpS2PiK1zF2ZbpFCKOiWokpdBKVnulO6dIEdd4T33y9tnWpZPt3L1UVT\nRCrRsmWb3sAF6NEjHpcuLW19RGpZas1tZbpF8qOgW4pq8eJ4zBZ0AwwYANOnl64+ta6xoLtz54Y7\n15n+9S/43vdg1ari1k9EJJdly6B79023pwJxBd0ipZO6VlCmWyQ/zVqnWyRfTQXd/ftHN3MpjcbG\ndHfpEo+rVzfclQZYuRJOOQX+/W/YYQc477zi11NEJNPSpdmD7lSmW93LRUqnkKBbmW4RZbqlyJoK\nurfbDubMKV19al1TmW7YNJv9y1/C7Nmw9dYwdmxx6yciksuyZQ0BdrpUIL5sWWnrI1LLlOkWKYwy\n3VJUTQXdvXvDxx+Xrj61rrGgO5Xpzgy6R4+O9dV33RVuvjnGcbVtW9x6iohkytW9PL2XjoiUhjLd\nIoVRpluKavHiONimsqiZeveO7sta6qU0Cg2616+P2eUPOgiOPDL+nhMmFL+eIiLp3HMH3e3bx41A\nBd0ipdOcTLeCbqllCrqlqFJrdJtlf75373hUtrs08hnTnR50//vfcWLdfXc44ADo2lVdzEWk9Fas\niMA7W9BtFjd2NdGjSOk0J9Ot7uVSyxR0S1Glgu5cFHSXVj6Z7vRs0aRJ8ThkSJxYDz9cQbeIlF5q\nvHa2Md0Qxy8F3SKlo0y3SGEUdEtRNRV09+8fj9OmlaY+tWzDhjhJFjKR2uTJsRzPttvGz0ceCS+8\noItbESmtVNCdLdMNCrpFSk2ZbpHCKOiWomoq6O7bN4K6d94pXZ1qVV1dPBYypvu992C33RqGBxx5\nZNypfuGF4tVTRCRTPkG3xnSLlI4y3SKFUdAtRbV4cQTVuZhF12UF3cWXCroLGdP98cexVFjKkCEx\nJODVV4tTRxGRbJYujcdcQbfGdIuUViFBd9u2cb2nTLfUMgXdUlRLljSe6YaYpCs1dliKJzVDfK5M\nd2oG4PQL18x1cc2gXz+YP7949RQRyaQx3SKVpZCg2yzKKdMttUxBtxRVU93LIYLud9+NMcdSPE0F\n3WabdtFcunTTzNJWW8GCBcWpo4hINqmgu2vX7M8r6BYprUKCbohx3cp0Sy1T0C1FlWtd1XRDhkRA\nOHVqaepUq5oKumHTLpqZmW6I7uYLF7Z+/QBmz4b994e//704+xeR6rR8eQTW7dplf15jukVKq9Cg\nW5luqXXNCrrN7EIzm2Zmq83sFTPbr4nyh5vZeDNbY2bvm9nZWcqcamaTk32+aWbHNbK/K82s3sxu\naE79pXTq6hoP8iAm6gJ4//3i16eWNTWmGzbNFi1dumnQXcxM98svw+uvw//+b3H2LyLVadky6NYt\n9/Ma0y1SWsp0ixSm4KDbzE4HrgeuAfYB3gTGmNlWOcoPBJ4A/gbsDdwE3GVmR6WVORh4ALgT+CTw\nKPCImQ3Jsr/9gG8k7ysVzL3xdaFTUt3PU90HpTjyyXSnB93u2Xsq9OoVwwaKIXXjZdIkWL++OO8h\nItVn+fLGg251LxcpLWW6RQrTnEz3COB2d/+du78LnAesAs7NUf58YKq7X+7u77n7LcCfkv2kXAw8\n6e43JGV+AEwALkrfkZl1Be4DvgYsaUbdpYRSB+TGMqvQMGv2ihXFrU+tKzTo/vjjGGefPns5ROY7\nNZNwa5syJR4XLIB//KM47yEi1Wf58saHKinoFimt5mS6Sx10L14MM2aU9j1Fciko6Daz9sAwImsN\ngLs7MBY4KMfLDkyeTzcmo/xBeZQBuAV43N2fLaTeUh75dGcGaNMmLphWrix+nWpZod3LZ86MxwED\nNi7To0dkwIsx8d2UKTB8OOy8MzzwQOvvX0SqUz6Zbo3pFimd5mS6S9m9fN266Jk3aFDp3lOkMYVm\nurcC2gLzMrbPA/rkeE2fHOW7m1nHJsr8Z59m9iWi6/l3C6yzlEkqs9pU0A0xI62C7uLKdyK11IVr\n6u7wDjtsXCa17vry5a1bv3vugYkT4wQ5fDg8/HB0cRcRaWpMtzLdIqVV6ZnuG5JZn1LXPiLllmMe\n0MpiZjsANwJHuntB98lGjBhBj4yZoIYPH87w4cNbsYaSTSqz2tSYboAttlD38mIrtHuNuJiFAAAg\nAElEQVT5jBlxktxmm43LpP6dli5tCMBbatIkOOcc+Nzn4IILYMyYuMhevbph+IGI1K7ly6Ffv9zP\nayI1kdKq9Ez300/Ho1m8b771FGnMqFGjGDVq1EbbluY55rLQoHshsAHYNmP7tsDcHK+Zm6P8Mnev\na6JMap9Dga2BCWZmyba2wGFmdhHQMenmvomRI0cydOjQ3J9Iiibf7uWgTHcp5BN09+oV2WaI7uXb\nbx/d/9OlB92t5f77I4B/8MFoL1tsEdtXrlTQLSKaSE2k0qxbB23bRlCbj1JnuufOhV12iWFr8+bF\n9YxIS2VL3E6YMIFhw4Y1+dqCupcnWebxwBGpbUkQfATwUo6XvZxePnF0sr2xMkellRkL7El0L987\n+RpHTKq2d66AW8qrkO7lynQXX11dnBxzrXML8IlPwAcfRLfuGTOgf/9Ny6SC7iWtNJVhfX0E3aed\n1tBW0oNuEZF8upevW6dVD0RKZe3awrLHnTqV9sbYnDmQyrnNmVO69xXJpTmzl98AfN3MvmxmuwG3\nAV2AewDM7Fozuzet/G3ATmZ2nZkNMrMLgC8m+0m5CTjWzC5NyvyQmLDt1wDuvtLdJ6V/ASuBj919\ncjM+g5RAId3Lu3ZV0F1sqeXbGrsrvcsucXG7cGFkurMF3aku5a2V6X7/fZg+Hb7whYZtCrpFJF0+\ns5eDJlMTKZWVK+PaLV/FXG40U11dvNc++8TPs2eX5n1FGlNw0O3uDwGXAT8CJgJ7Ace4+4KkSB9g\nh7TyHwInAEcCbxBLhX3V3cemlXkZOINYf/sN4BTg5CS4zlmVQuteydauhUWLyl2Llnn6aTjiiAjY\noLDu5cVchkpCPmum77JLPE6ZEpnuzEnUoPW7l0+dGo+DBzdsU9AtIuma6l7euXM8qou5SGk09T+Z\nqXfv0l3nzkumZt5zz+gCr6BbKkGzJlJz91uBW3M8d06Wbc8RmevG9vkw8HABdfhsvmWrwbHHwt//\nXt2zNV93HTz7LHzlK/DII4V1L+/ZM7KdUjz5BN077xyPkyfHSSpbprtTp+hS1lpB97Rpsb/0SZIU\ndItIyoYNcSxoqns5KOgWKZVCg+5evUoXdKe6k2+3HfTtq+7lUhma071cWll9fQTcUN3j0ZYsiTWd\nn3oKLrussEx3Kbsd1aq6uqb/FltsEcHviy9Gu9xuu03LmEW2u7XGdI8bB0OGxN3o9HqAgm4RaRh6\npO7lIpVj+fLCu5eXKuiem0zD3KdPBN3KdEslqIolwzZ3b7zR8P2sWTBwYNmq0iJz5sA3vhHf//zn\n8MlPxve9ezf92p49FXQXWz6Zbogu5hMmxPcZq+39x5Zbtk6m2x3GjoXTT994u4JuEUlJdRVt7Fyi\nTLdIaTUn071kSSSXGpvQtTXMnRsrr2y1VSQSFHRLJVCmuwKMHdvw/YwZ5atHS2zYAPPnx13Fgw+O\nrOo//gFbb53fkk89e8bBuL6+6FWtWYUE3W++Gd/nOqFuuWXrZLrfey9uNB155MbbFXSLSMrkZLrU\n3XbLXUZjukVKa8WKwsd0Q+v1kmvM/Pnxfm3bqnu5VA4F3RVg7FjYb7/4PjUJWbV5550IvHfbreHC\n6Omn88/a9+wZAffy5UWrYs3LN+hOH1vdWNDdGpnusWNjPPehh268vV27WNNTQbeITJ4cXcv79s1d\nRplukdJqTqYbStPFfOHCSPqAMt1SORR0l5l7jJ895ZToClOtQffYsREkHXBAHODatIk7iwMG5Pf6\nnj3jUV3MiyefMd3QcKKC3OO1WivTPWEC7L13Q2Y73RZbKOiWBnV1cNRR8Oij5a6JlNrkybG6QWPL\nHWpMt0hpVXLQvWDBxkH3/Pmwbl3x31ekMTUbdK9cCRMnxlJd5bRsWdyZ32mnOCBVa9D9wANwwgnR\nxa9du4ZsaaFBd7Uvm1bJ8s10pwfdxe5ePn/+xpn1dAq6JaW+Hi6+OG7upeaNkNoxeXJMttgYZbpF\nSqs5E6lB6YPuVA+Z1NwQIuVSs0H366/D0KHlX6ZqQbK6+dZbx4QP1Rh0v/cejB8PZ57ZsC21vnO+\nQXfqYKxMd/E0J+jOVb41g+5ttsn+nIJuSfn2t+HOO2H77fPrrSGbD/eGTHdjOnaMTLiOGSKlUcmZ\n7szu5RDzx4iUU80G3aX852/M/PnxuPXWDZOJVZtHHom7nSec0LBt++3jsZAx3aCgu5jyDboHDWr4\nPld3zi23bJ2/1bx5CrqlcTNnwk03wS9+AVdcEW3Gvdy1klKZNSsmbGoq6DaLY4myWSKlUehEap07\nx9fHHxevTikLFkQiC+Kaplu3mGdIpJxqNuiulCAvPdPduXN1jkdLLXOWHtAVmunu0SMumsr999ic\nrVmTX5Zwu+3gpz+F3/0ud5mBA6PttuTvtX59LOuRa3IkBd2Vafny0g7LefnlCLL/+78jqFq7Nobl\nSHjsMXjllXLXonhS6+2mbuQ2pn//6l0BRKSarF0bX4UE3VCatbrdN+5e3rlzzJt03326YSvlVbNB\nd6Vkut96K7KGqaW1qnE8WrYuwoUG3W3aRJC1YkXr1k0azJ+/cdfxxlx1VQQ5uQwbFo+p9bybY9q0\nOGnnWgZIQXflqa+HHXeEgw4q3Xu+9VZ0D9xmG9h229hW7mFBlWLyZDj5ZPjsZ6vz3JGP1OfKNtli\nJgXdIqWRWmmmEoPuFSvi2iL9euess2DKlBhaKlIuNRt0d+kSSxWVO7P6wgsx43ebNtWb6V6wYNOg\n+7TT4JZbIoOdr65dtWRYMc2Zk3vSskLtumv8vcaNa/4+Umvv5uo2qqC78kyZEl0DJ0woXZA3Z05D\nlnP//WPpqD/+sTTvXelGj47H1avhBz8ob12KJdXOUhOlNUZBt0hppK7VCplIDWLt7GIH3ak1udOD\n7s98JnrV3Xdfcd9bpDE1G3SbleaOWy7uMHIkjBkDxx4b26o5052ZQe3XDy64oLD9dOumTHexLF8e\nv9vG1rktRJs2MRFhS4Pubt00e3k1GTu24fu33y7Ne6b3pOncGU4/PYY+1NeX5v0r2fjxcPDBcN11\ncMMNm2fAWUjQvcMO8TtQF1KR4mpuprtnz+Jfd//zn9C2bUOPPIifhw+HBx/U0mFSPjUbdEP885cr\n0/3zn8Oll8L558M3vxnbOneu3qA712RYhejaVUF3saTu/LZWphtg333jor+53n238bV3FXRXFne4\n447IGEAMDyiFzOPLV74SgdU//lGa969U7vD885H9P+OM+Plf/yp3rVpfqvdX585Nl+3fP86h5R42\nJrK5S12rFRp0l+I6b8yY6EG65ZYbbz/zzOiZmX7zWKSUajroLmem+ze/ga9+FW69teFiokuX6ute\nvmFDdDdtraBb3cuLY/bseGytTDfA3ntH4NXcwHjWrMbH/Cvoriyvvx5B3eWXx8XMv/9dmvedO7dh\nLDfEePJddoF77y3N+1eqcePif+jkk2Pywy22iOUbNzerVsWNuXwmgezfPx43x4y/SCVpbqa72Of1\n9esjqD766E2f22efSDw8/3zx3l+kMTUddJcr071sWVywfvrTG2+vxkz3okXRzTPfCboao+7lxVOM\noDv1N2/u/9DChQ1LemSjoLuyPPdc3Bg76qgIfB9+uPjdeNeujSXD0pceNItJcUrx/pXsz3+O/59P\nfSp+J4MGRe+Rzc2qVXFDOlePmHQKukVKo1KD7jfegKVLswfdZrD77vDOO8V7f5HG1HTQXa5Md+rC\naMiQjbdXY6Y7tc64Mt2Vbc6c+P0WeoJsTGrZveauLZ++pEc2Crory4wZ0TOhbVu4+OKYTO2FF4r7\nntOnx029nXfeePuee0bbWLiwuO9fyR5/HE48Edq1i58396A7H1tvHRlxBd0ixdXcidSKfV5PDaXb\nccfszx9+eCyzeNVVxauDSC41HXSXK9M9aVLcccuctblLl8iCV9MatKl1xlsj6N5664aMrLSu2bNb\ndzw3NIyXas7/UGodzXwy3aXMZr78cnRbfuYZTdSVaebMhqUAjzkmung3tpZ7a3jooVhlYo89Nt6e\nms181qzivn8l+/DDuPmQsuuu8MEHZatO0axend94bogJHvv0gXnzilsnkVq3fHnc4GrfvrDXFTvo\nTl2PZI7nTrnySrjiiph8styrF0ntqemgu1yZ7nfeie6SmXfvjz8+DmKnnlo93SZTme7W6F6+++6x\nJNHatS3fl2ysNZcLS0lluptz4po7N/7OjXV332KLmDOgVO3hnXdiJuivfCW6pn3/+6V532oxY0ZD\n912zCIRnzize+82eDT/7GVxyycZjuiHGMAN89FHx3r+SrVwZX+k3O7fbLoLN9evLV69iKCTTDXHc\nqLZhWiLVZsWK5vWcK0XQ3alTfGXTpk2srFNfH0OmREqppoPucmW6R4+OMZGZdt0VfvtbePppeOut\n0terOebPjzudhazHncvuu8cF4/vvt3xfsrHZs1t3PDc03EluTvfyMWMicMuc1yDdFlvEY6m6mD/z\nTNz0WrYMvvMduPnmls3OvrlJz3RDBMLFzCj+5S+xtEu2mx/bbhvd3Gs16E7d7Ey/GdGvX9ys3dyy\nvIUG3V26aFiKSLGtXNlwji7EFlvEcb1Yy3YtWdKQEMhlhx2il93EicWpg0guzQq6zexCM5tmZqvN\n7BUz26+J8oeb2XgzW2Nm75vZ2VnKnGpmk5N9vmlmx2U8/10ze83MlpnZPDP7i5nt2pz6p/TsCWvW\nlHYc9YIF0b38pJOyP3/88RHEFnusZGtZsCCyLflMctOU3XePR01y0frmzo1ul62pY8fo9tmcG1ej\nR8N++zU9phtKdwE9blysPd6tW3RBGzIEDj1U40MhjpELFjRkuiH+71PBXzGMHx/dp7Pd0GvbNtpz\nrQfd6ZnuVE+WzW2ITnMy3Qq6RYpr3brCu5ZDw/9ysXqjLF7cdNBtBnvtpWtNKb2Cg24zOx24HrgG\n2Ad4ExhjZllHZ5rZQOAJ4G/A3sBNwF1mdlRamYOBB4A7gU8CjwKPmFn6VGOHAr8CDgCOBNoDT5tZ\nnqO9NtWrVzyWMtv95pvxuM8+2Z/v1CkyktVyMfnhh62XQe3dO/b19tutsz9psHJl606iltKc3iLr\n10dvjuOOa7xcqYPuSZMaJjfs1Ssy32vXwlNPleb9K1nqxkNmpnv+/P/f3nmHSVFlbfy9wxBEchwU\nZFRQsoGcBAOKIsKioCJJzGk/RFbFhKKCCRFz2jUghl1lMSCKqIgCChIEQZAkSXKUNMxMn++Pt+92\nT0+Hqo7TM+f3PP30TFV11e3qU/feE2/ict8XLKARJBR165bcnG77zNkxDPDVR9i1K/ntSSSHD7v3\ndGt4uaIklvx8Gj/dYo2o+/bFtz2WPXtC53P7c/LJwNq1iWmDooQiGk/37QBeEZG3RWQFgBsBHAIw\nNMTxNwFYKyJ3ishKEXkBwIfe81j+DmCaiDztPeYBAAsB3GoPEJGLRGSiiPwmIksBDAFwAoCWUXwH\nAD5rWDLzupcsoXcwsBqvP3Xq+CowFmVEgG+/pTcwXuhyDonhyJHQOU6xULWq+/Dy33/ngNu1a/jj\nrNKdjAm0x8PKz/7FDStXBlq1Ar75JvHXL+rYyclJJ/m21a5NA0oijJZHjrAfaBmmdz/xxJJroLPF\nNv2jABI9mU0Vhw45L6QGqKdbUZJBfr5v5QQ32OicRKXBOPF0AxzL1q5Nn/pJSvHAldJtjCkNKrlf\n220iIgBmAAiSpQwAaOfd78+XAce3d3BMIFUACICoVWabD7dqVbRncM8vvzBkMpyFMCuL4cCJ5PBh\nrre7ZEn051i1inme550Xv3Y1aQL89lv8zqeQRCndVaq4V7qsbNsK1KFIpqd7wwY+E4ErCnTpAsye\nnfjrF3XWrmUoof9vZvvPaEPMw+X0/forJ3XhPN29egHz5xfPit2R2LePIZL+OZUVKnBbcVS6tZAa\nycsDevcGHnkk1S1RSjp5edF5uu24kSil20lONwA0asRji1s6jlK0cevprgGgFIDAx2UbgFAZo1kh\njq9kjCkb4Zig5zTGGADPAPhBRJY7a3phTjqJeaUvvBDtGdyzZAlzScKRDE/3vHnAjBnADTdEf46v\nvuJE/Kyz4teuWrVSU1E+FXg8wDvvJKdoXlHydFulO1KOeTKVbmt8ClS6s7PZ3pJuDV+zhp5l/0lW\ntB6LAweAfv34+VBFExcvZpXZwKXC/LnkEiqa777r7vrFgf37mS6S4TeCZ2QAlSqp0l2cCqnl57Og\n44ED/P+++4CPPwbuvz+17VKUaD3dNWvSOJgox5JTT3erVnyfNy8x7VCCk6gCeulCulYvfxFAEwBX\nxHISY4Dbbwe+/jo5YYq5ucwbPe208MfVqZN4T/dPP/E9luVlZsxgFfYKFeLTJoAhktFUw05Hnn8e\nGDjQ57FLFHl5fCVK6Xbr6d62jQp1JLlJptL9wQfAqadSyfanZk3eu5Iik4GIUE5nziwYWg5E7+ke\nPRqYMoX3dPr04McsXszfI5yyVb48Fe9PP3V3/eLA/v1UsAOpXFmV7uIUXj5tGpfM69yZz9/jj/uK\nGVpFvCQiAqxbBwwfrqudpIpoPd2lSzNCLlG1J5wq3ccfT6Pu++8nph1KYTZvZh2Su+9OdUtSh1s7\n1U4A+QACVk1FbQCh1MStIY7fLyI5EY4pdE5jzPMALgLQWUQi+oNvv/12VA4of3vllVfiyiuvBAD0\n6cNt8+aF96rEgz//ZGGmhg3DH5eVxYmsm0IVW7YATz7JYjqffAKMGhW+UNWPP/I92kIS+fnM577j\njug+H4oqVXiPEuWZLSp89x1/o9atqXy0a8cw5nbt4n+tHO9TVrZs+OOioXJlX36pU5xWUk+W0r13\nLzB5MvDgg4Wr8Nvq6tu3OxvIixtjxwL33su/b7ml4L5KlShTbj3dM2YA/fsDCxeGrt8wb15k4yQA\nNGjAZ6mksX9/8KruxVHpPnzYXU53cSqkZlNbFi/2bbvrLj6LmzfTMFXSEKGx3zoOli3jEpRKconW\n0w0k1jDmtJCaMcCQIcA99zhX1JXYeOUVGgtffx147LFUtyZ63nvvPbz33nsFtu1zOPC6emREJNcY\nswDAuQA+Af4X6n0ugGdDfGwugED173zvdv9jAs/RLeAYq3D3AtBFRBwt5DN+/HicGSYxsGxZTqyT\nkdexYwffwy2TBNDT7fHweKfLPD3wAAXZMmEC0L27T4nw94x89x0V8w4dgDlzCq+/64SdOzm5ixQq\n7xY7kdy7N/5LXBUVNmzg0nDt2gEffcQBqHlzehQTqXQnwohRqVJ0SnftQBNbEMqUodEp0Ur3xx/z\nHg0cWHifDaHesaPkTXD37GEY6513stZChw4F9xvjfq3u5cu5NurIkbznwSKMfv+dkR+33154XyA1\na/K3EYnPsoXpwu7dwZXuE0/0KSPFhZLs6V69mmPDpEn0EFWs6JtHbNpU8vokgEr2Tz8BN99M7/9d\nd6nSlAqi9XQDjHJLRKTG0aPsL5zKwoABlJ/33qM8KYkjJ4dK93HHUd9auTJ9+y9/x61l4cKFaBmu\n8quXaMLLnwZwnTFmkDGmEYCXAZQH8CYAGGPGGmPe8jv+ZQAnGWMeN8acaoy5GcBl3vNYJgDobowZ\n7j3mQbBg2/P2AGPMiwCuAtAfwEFjTG3vK2ZV4rjjklMtfOdOvkdSuq2y6aZN06YBI0bQIzdxIi2/\nt97KHLDzz+cEzVrNr7mG4Wr//S8nqtFUZ7ahQTWCLhQXPdZCWdy8Nf688QYHq48/5vctXZqd/5Qp\niZksHjnC96KkdDsxqBjDwfmvv6Jrm1N++40hm3adY3/8Pd0ljeXLafwbMAAYPDh4hI7btbo//ZRK\nUa9ejCxatqxwvvybb/K56N078vlq1eJEy60MpjubNzM8MpBrr6XBojjlKR48WHKV7lWraIht3py/\nd6VKvt+9pC6XZ6NjHnmE6SX5+cVL3tOFoujptmlgTpXu2rUZEaoh5oln/nzOFf7zH/4+r72W6hal\nBtdKt4j8G8AIAKMBLALQAsAFIuK1vyILQD2/4/8A0ANcW3sxuFTYNSIyw++YuaAyfb33mD4AegUU\nSbsRQCUAMwH86ffq5/Y7BFKnTnI93ZEUVbvutdO87u3bOQlr04ZKwoABwEsv0fP93HO+CemkSbQI\nr1nDAmq1agGnn86cdrdYA0K8le7iuuyNPx98QIXCP6d5wAAqOEOGxH/d40Qr3fv2uSs05lTpBmJf\ns377dlYpDYgEKsC6dYXzlS3VqrFAlX12SxI//UTjULh0GLee7rlzGRpapgyViT17CleH/+AD4Ior\nnIUUW6NISft9Nm0KXv3/ootYl+CVV5LepIQgQo9YxYrOP1O+PA0xsdQrKQqsX8/VTgKX5CxXjuNu\nSVW6V69mv1y1KtNLsrKAzz5LdatKHrF4uhOldNv6Mm6iHk4/nc+aklgWL+a436oVowrGjQOeeCLV\nrUo+URVSE5EXRSRbRI4RkfYi8rPfvqtF5JyA42eJSEvv8Q1FZGKQc34kIo28x7QQkS8D9meISKkg\nr7ej+Q7+JNPTfeyxkSeTNvTWaZtsIRH/yss33shBef165m/ffDMHJht62LQp3889l0q32+rMVumu\nXt3d5yLhH15eHNm0iZ7VQC9edjYVw8mTmUcbTxKtdOfl+a7hBDdKd3Z2bAPiokUMYwpX7Xf9eqB+\n/eD7MjI4wS1pSt3hwxwUL788vNzUq8d0CaesXOnrp84+m2HrDzzg638OHWKdCadpFkVF6U5mdXuR\n0Ep3qVKMbFq4MHntSSQ5OfSouSnWaWtBpHte97vvcq4QLOKjbt2SrXQ3aMC/jQGGDgXefrtkF5ZL\nBW5qDgVSlJTuGjV881klcSxeTL2jTBkWUx0xgmlm69alumXJJV2rl8eVZHq6nXiGS5fmcU49fLbD\nCMyTrVnTF659yy1UZC+8kB3lKadwe5cu/O5uJs4Av4sx8c+jKu7h5TYMrm3bwvt69WKBqSlT4ntN\nqxAnopCarRPgNLw3P5/y6lTprl8/NqV71Sq+h4sa2bkzfMpHzZolL7z8X//id37oofDHnXgilWQn\nSueff3LCbJXujAxWY/72W+CLL7jN/l62f4qEzblP1e+Tm8uooqys5HmX9+3jhDXUOvcNG/I+Fodl\n7mxqiVtPN1A8lO5evYJ/97p1Y4sASmf8lW6AUXsHDjCST0keeXlFL7zcKt1OCqlZatRgX5Hu/UVR\nZ/FiRhUAHPvvv59RnbNmpbZdyUaVbtDTvXVr/MN6A4k0ufenfXvm/DrBKsDVqoU+pkkT5koCVL6s\nAmbzWINZ+p54gqEgDRoAr75Kj7m9R2vXUiGK1tIZiooV+V2Kq6f7P/+h0hEsHxOgMr5kSXzXMrRK\nvJuByCnWiOQ0xHjHDspQspTuH37g+8GDoQf5XbvCG8Pq1St5y9LMm+d79sPRsCENLk7ys+68k0Y6\n//ojPXpQwf78c/4/Zw4nck5Xkqhenf1FqjzdDz5Ig+b27YwmSobybz2c4ZTugwcTv+xkMrDey2g8\n3emc171lC4sMXnxx8P3HH6+ebssJJwCdOgFffZW6NpVEiqKn221ON+Ab+9XbnTg8HtaI8R/XK1Xi\nWLVoUeralQpU6QYnL7m57pe+ccuOHc6V7muvBRYscCaQO3dS4Y7UAfbuTavwSy/5ttnOKXCt5TVr\nfGvpHT3Kz7VvD1x3Hbf9/rtzb5QbMjJ8ecLpwPbtwL//7Sx/cPduFq8bOjT0MY0a8X67jTwIxZEj\nwMsvszL3ySfH55z+nHgi352GCFlFwEn1coBK95490RXK2rOHBocLLuD/wRQzuwZ3uDSJbt24TnU6\nT+LdsmIFZTESPXqwr7rhhvBLd/35Jz1Ro0cXNP4Yw4H4t9/4/5dfskq6U89mqVL87VLh6c7PpyHz\n5pu5AoTHQ699onGidANUTtKdkqp0n3ce30MVwy2p4eU7d3IMadKk4PZ27Ypf1f6iTiyF1BJVvXzP\nHrbJ9gFOsGN/otYNVzj+Hz5cWGc444zikwrlFFW64Stbv2JFYq/jNLwcYEGc445jpetIbNvmTJnP\nyKACNmiQb1sopXvKFOaTzZpFBXDXLuCppxh2um4dvbH+OeTxpHLl9PF0X345X40aAc88E/7YDz+k\nkhdsaSqLVYzXrIm9bfPnU7bt0k+JoHZtyonTCb5Vut3kdAPRebs/+ID32y49FUwxs3IfTunu0YO5\npdFU+U9HRNgXOlnOo0wZRsFkZ7MeQSiWLOH7+ecX3te4MZVuj4f3uFs3d+21y4Ylm5kzOZkYOJBK\nUMeONFQmuu+aPZv9drBq+wCLAhrjC9VPZ6JRutM9vHz/fnqFzj039DNYty5l3k0tjeKAdUKccUbB\n7W3b0giRjDRBhcRSSK1aNToh4o1dOs7N8pFuU+SiZfhw9s3p2i/Fgo0UDKZ0//JL8UiFcooq3eCD\nkJmZeKXbTXh5ZiY90//9Ly1E4ViwgEuKREOlSuygApXu337jZNhOYKpV84WFzpjB8PI2baK7ZiQq\nV04PT/fcuZx4DxtGGbrjjvDK4bJlnESF8/LWq0cvXzivoVNGjeK55s0LX4E6FoyhsjF1qrPjo/F0\nA9Er3d26+Z6NYJEsTgoCnnIKwxmdfsd0Z9s2TkCceLoBysAZZ1BRCMWyZTTOWCOKP40bc7K8eDFz\neN32K26XLYsXkyfzubftfecdn3EykXz0EZdKCuVlKleO99lGD6QzNqe7JHm6reL4wAOhlQf7bM6Z\nk5w2FRUWLaIsBKa92GdQlw5LHrF4uqtXD+5Z9nj43O7aFZ0iFs167bZ4b6KV7vHj6bBasCCx1ymK\nrFpFA42NjLSceirve6oLoSYTVbrBwmUNGhQtTzfAUO5Nm8Ivd5STQ49mhw7RtSkjg+GewZTuQCt7\nnTqc4Noy/126RHfNSFSpUlDp9niKZmXSceOokI0bxxBzkfDe0FAVh/3JzORySfGt4cUAACAASURB\nVOG8hk5ZtAi49NLCXoF4c9VVND5s3Bj52G3bOCg6LepWpw6fT7dK965dwPffA3/7GxX88uWD52Xb\ngT+c0m0McNZZwM8/hz6mOGH7QadKN0DF+ddfQ0+Uli1jSGhGkBHHXuett/ju1oCYKk/3smVA69Y+\nxSg7m0aewCXQ4slvv/F16aXhj2valL9HumP7/WgKqaW70h0qkgGgZ7dx44KpYiWBRYtYjCmwH6lb\nl/frxx9T066SSCye7ho16EyyXt8DB4Du3Rk5VaEC99esSaPmL784P++ePe5r1yTD0z3Rb72m119P\n3HWKKr//ToW7dOmC2+1SrfGI7EwXVOn20qhReE9NrOTlsUNw6ukGOLg0axZ+IFm4kIp3x47Rt61q\nVZ/SnZvLPMWffy7scbIerdWrgX79QhcDixX/8PJFi3gPqlSJjyIaL9avZ3uGD/cZLk47LbyH2onS\nDdCYsWJFdDl7o0YBjz1GD9HWrYnJuw+kTx8aC/r2jXzsli3OQ8sB3tt69dwr3VOn0hLfsycnBs2a\n+UKc/XGidAM0yqXLwLB3L5/haD2dK1fynoVauzwY7dtT3ubODe7BWLbMt0xhIDYK49lnga5daWhx\nQyo83QcPcrwIFi6XSGX3yy/pyY4Ugt+0Ke95uhNLTne6hnFapTvcc2AMlwWdMiU5y50WFRYtCm1E\nPu884P330yNKzrJ2LdOf0qnNllg93QDHiiNHWKV/zhyuZjFpEg2wN93EeczEQgsMhyYaT3e5cvwe\niVK6p08HhgyhE+2f/+TydiUlag6gIf7LL4NHsDVowPtvC6mWBFTp9tKuHR/6RA3Uu3dT+Nx4ugHg\nzDOBpUtD758zh5Z9W4o/GqpW9eXXzJgBXH01jQM9ehQ+9uabmbf4zjvRXy8S/p7uMWNoVGjbFrjm\nmqJTLGXhQv6ef/ubb1uXLuGV7s2bnRkqevbkb/Lkk+7atGwZC1WNHMnlZoDo0w7cUKkSl6L76afI\nz8+qVYVDjCJRp477Sswff8xn2k5cW7QIr3SHq/wPcHDYu5cKaVFm3jwadq6+mp7l1q1ZH8KNt2DF\nCtYWKFPG+We6dKGi3rEjowLy8337RKighlK6racBAB591Pk1LZGWdFu/nlXG77oL+Ppr9+f35/Bh\nFks7/3zKuv/zD/D53rmTxRBzc+Ofq2YrN4dbOx3gvd64MfEhk4nmwAF6R9zIYlH0dO/b51yx+uEH\n9pGRikENGkRloVMn9veJLgSbag4fpscs1Fxn5Eje4x49nBU2TRYHDgQ3oH/zDQ31zzzjW1kmnYjF\n023TjO6+m2lH334LfPYZU/T696dsP/ww+9ePP3bejy5d6t7RYAzHoET1lRMn0uj/0kscl1u39kV1\nJZsVK+JXpNcpS5Zwbtq/f+F9xx4L3HYbQ++Le/9lUaXbS58+nETZ9WLjjbVe23VlnXLqqZzoh+p0\n5s9nhdPAsA03+Hu6ly6lV2HjxuDLBV1yCTB2bGzXi4T1dOflcRmQQYPYIWdlUZG6557EXdspGzZw\n4usfudClC/DHH8G9snl59Eg48XRXqkQP+iuvuOuIXnmFbapalV6Q445LjtINAP/4B9/Xrg1/3JIl\nVIDdkJXlXOn2eFjs74svaD23tGhBxS9wMrZrF+UtkjxfeCEV0WuvLdpFPyZNogFhyRJGHvzxBzBt\nGqMfnLJypbvQcoDhvx9+yGd1+XLgk098+77+mhPPUEo3wLoId9wRXZpMrVoMLw/1uzz7LPus8eMp\nE9EWOnv3XcriOefQ2Pnpp4W9bjYkuHVr9qMPPxzdtUKxbp2zCIRWrfj+/ffxvX6y+esvd15ugNEx\n5coVHU/3li18nk45JfL8wuOhktG7d+TzVqnC52btWqb4nHtu5L5JhM9Bx45MUXj99aLdn/mzYQPb\nGmoVjkaNWO9g9uz41ESJBzk5nJ+dcgpT0Cx//cXl4Nq2ZR9SVNrrhliWDGvUiA4C6xyYMIHG2kB6\n9aKhcfJkX32HUOzcyWPbt3ffnngr3V99xd/7uecYfdG5M++VMZxLfPVV5FpN8WT7dhrfGzdmnZxO\nnTiXGTkSePHFxBYgnDSJkQ3BiqgCvlWSnBSNLhaISLF8ATgTgCxYsECc0ry5yFVXBd+XkyPi8Tg+\nVSEefVTkmGNEDh1y97lPPhEBRL79Nvj+jh1FBg6Mvl0iIn37ipx7Lv8ePFikTZvYzhcr99wjUr++\nyNy5/O4//sjteXkiDz4oYozIN9+ktIkyfLjIKacU3LZ7t0ilSiI33lj4+I0b+V2mTnV2/s2befxH\nHzk/vmxZkdGjea1Bgyg7yWLbNpGMDJHbbw99zO7d/E6TJrk79803i7Ro4ezYMWN4jZ49RXbs8G2f\nOZPbly0rePwFF4i0bu3s3F99xXPcfntsfUE48vJEnn9epE8f9kWHD7v7fIsWIldf7fs/J0fk1lsL\ny2o4TjxR5B//cHddi8cj0qULn98vvxTp2pX3rHVrkf37oztnJP7zH15j9+7g+zt1EunXT2TtWh4X\nzXPh8YicfLJIt24iTz4pMnZs8ON++YXXAPhblC0rsnWr++uFolEjkf/7P2ftbdw49rEh1dx3n8gJ\nJ7j/XPXqoX+jZOHxsN/p0oVy0Lo1+8gNG0J/ZvZsys733zu7Rn6+yN69ItOnh58niIjMny9y+uk8\nrk0bzh0A9mvpgP2Oa9eGPsbjEalXT+S225LXrnC88w7b3KQJ3z/8kNs//pj/r17NuUR2duLGlERx\nxhkiN90U/ec9HpHHHhP5179CH3P4sEjt2rxXjRtT3kPx2WeR5SMULVpwnIyFgwdFZs3yzfXs68QT\nRdav9x33++/cPnFibNdzw9ixIuXLizzzjMjLL4tccgnbULEi35s1S4z8eTz8/jfcEP64888Xueii\n+F8/mSxYsEAACIAzJZxuGm5nOr+iUbrvvVekVq3C27dvF8nK4oA1a5bj0/2PrVtFKlcWuf5695/N\nzxfp3JmdcjCF/aSTRO680/15/bnhBpEzz+Tf7dpRYUslTzwhUqWKyD//SQXbX/HIz+dEvm5d/i6p\n4rLLRM47r/D2Z55hm3/5peB2a0AI3B4Kj0ekZk2RUaOcHT9qFBX+vXudHZ8IBgwQadAg9P7vvuM9\nWLrU3XlHjw7+XIrwPl1/vchTT4n8+98ipUuL3H134eN27eK133vPt23BAm57913nbXn+eX7mnnvc\nfQenWKNBs2Z8f/1155/duZOfeeutgtuffVakTJnwExaLVUz975Nbfv6Z1wNETjuNz3FeXvTni4Q1\nqKxYUXhfbi4nG089RVlp0ECkd2/31/jxR15jxozwx+XmijzwgMivv/L3KFWK9z8e5OeLlCsnMmGC\ns+MfeoiTKreGm6LEsGFUWNxSrx4V9lTyxhuUmWrVqDCuW8f/v/gi9GeGDOFcw+3z4vHQODFsWPD9\nubm8j82a+ZRsOyG+5RZ310oVr7/OsTUnJ/xxt97K3z/VSuzevfxNLriAbTnzTJErruC+m26iEU/E\nZ0yYPj11bY2GeCiqTjhyRGTKFN6jUPNvj0dkxAgq6NH87p06xT7vveoqn6JdvjyNzlOmiOzbV/jY\ns88WadWKzqM//4ztuk644AKR7t0LbrPzgRkzCjq34sn33zsbN0ePpo6UyHlConGqdGt4uR9NmzIM\nwz/3at8+hoNs3cocsfPPZxiEm7DfRx5haMmYMe7blJHB6th//OFbo9IiwtA1t4WHAqlenaE54mJ9\n3kRilwxbsYKhMP75ixkZzJE5epTrY3s8qWnjhg0s8BXILbcw/3DmzILbN2/mu5PwcoBhSC1aOM/F\nnTOH4e12+YtU0KcPw7s++yz4/qVLGcbtVr5q16Z8+ucJAwzdGzCA60SPGMHifl27AvfeW/gc1arx\n3vvndT/+OEN1nRSAs9xyC4vVPfVU/HKjDh9mykSPHuwrhg3jverRA3j5ZefnsaHEgasKnHwynxcn\n6zZPnMhw3p49nV83kJYt2V/Nm8eCjEOHRh+G6ASbshOsT16+nGHGtsr4qFEsPjV3rrtrvPMO+9mu\nXcMfl5kJPPQQx5Lq1dlH3X8/w8JjZetWFh1yWuDusssYkpmOoauWaMLLAeYKpjK8fMMG1hDo14+p\nD926sf/JzAwtCzt2UM7uvNP982IMU6+CrbCweTNDz1es4NzlvPN8n+nUKX1WZdiwgc9gpPz+3r2Z\nHjd/fnLaFYq772Yqyyuv+MKKp0/n7/zWW3w+Af4eLVtyDEinddfz8qIvpOaGsmUZil+5cuF5FcDC\nlW3bckxu29bdGt2WWMPLt2zhuGLTCNato67Qq1fBmiWWkSM5Np1zDueRLVpwXlSvHmWheXOO/x9+\nGH2bLLm5rBMROHbZFQC6duUY+v77sV/Ln127ON6ecgpw9tnhj+3cmXP+4lD8MxKqdPthq+j6T04f\nfJDFOxYv5kT44os5iczKYv7iqFHMzwiFCHO0Bg2KXCE5FI0b8z2wevL+/Zywx6p016vHgXnrVg4S\nRUHpFuH9DlZ0q25dKlrffhu+yFwi2bABOOGEwtszM5kLH1hwa9MmX761U047LXjxr0BWrQJmzWLH\nlUp696ayNnhwcIV0yRLmcrmtB5CVReOKXVPb8uyzHCjefZeDyuLFnNSEmqT7F1PLy2Oe2E03uZ84\njBjB7xBuKb9ArA08kHvv5fd75hm246ab2OcAzLlcsMD5ZGDmTBaosWubW7p2Zf7nP/8ZuY1vv83J\nYKQiTpGoU4eKbjImZdnZnEAEK3I3fz73nXkm/+/fn5OA++5zXhRv7VrK2ZVXuleGXnyR/f4VV8Se\nO2vrJTgtRNioESd8CxfGdt1Usndv8ElrJI491l0htZwcvkLxyy/MF3byG/75JwsmGcPn2k5uMzNp\nMAk1sXz3XX5m0CDn7fandWv+1v7GyaVLKftr1rBwl831t7RqxX4zFevcuyXUmBtI166srTB2bHzz\n1bds4fjy/fe+886Zw/HgnXe475FHmCs7ZAjz5UeO9PXHF17IgrU33ECD0N//zu3G0CGzcCEL1aYL\nseR0u6VUKcr34sUFt//4I+V740bmhNux0y2xKN27d1PBrlqVY3DfvpFrN3XrxvnMnDmcA3TtynpJ\ngwdz3tehA40zV18dOZc9Ej//zL4wlOJbqhRl9oUX4meoss67n3+mMSTYUqH+tGnDOVW61yBxRDg3\neDq/EEV4+fbtnBpPnsz/t2xhOF9giO+aNSJDhzI0q3JlhjytXh38nBs28JxTpjhuRlDq1GEOzWef\nMVRZROS333ju776L7dyff87z2Pwjt+G/8eaLL9iO7OzQOfaHDzNPbvz45LZNhLmpwcJ4LQMGMDx+\n1y7fthEjwodeB+PNN3mdcLmwHg/z8bOzmVOUanbtYnhksFyvJk343LjFhvYuXuzbtnSpSGYmw/yd\ncvvtIqeeyr9tqOe0ae7bI8IcpIwMpmPs2RP6uB07RJ5+msc1a8Y+RYSpIvfcwzZcey2f5UDs8z16\ndOT2rF8vcvzxBfO5/bnjDoa5hqspYUPBwuWFFlVOPTV4Huf11/O++3PTTb4wwHPPDf/cbNkiUqEC\nc9TXrImubTbX8Ndfo/u85e23eR43z/lZZ7FmR7rSpk1omQ5H587sh53wxReUn3r1fKGge/eK3H8/\nQ4JbtvTJy9/+Fj5H/+BBpnzVqhW8fsfgwb5UrkAuvZRhp9Fi0yzmz/dtu/lmfq9t24J/ZtcupiUN\nG8a5SqQUlCVLeK+6d09+Lvi55zqX5Q8/5L0Ily/sBvvs2Ve7dr6ceP9XxYrM3W/ViqHX/qkdubm8\n10DwHNdXXy0a8y+nNGggctddybvebbeJNGzInOmjR/nKyGBIeawpNNdfz98sGu66i3pAsDE8Fuz4\nP306n81XX40u/HrMGI5hubmhj8nJ4fdv3975eSdPFnn4Yfa1111XMIR80CD2O27qmbRr50u/SEc0\npzsKpTs/nzmhzz/P/8eMETn22NAFekQ4ia1YMfTE+L//5V3etMlxM4Ly/vvMD7Sd+4YNzAcBWJgh\nFmxhh3bt+H2PHIntfLFi858BKguhOPtsFswKxr59zEtNRF7XnDls26JFwffbomb+hXyuuIK56G5Y\nuJDXmT079DF2MhCt8pgI7riDbbr0Usr9229zAgzweXDLH38U/o5DhjCv342sPvMMixl6PL5nJ1ge\nsBNWrhQZN47PywMPhD7ujjtoHGjcmNc75hgOUscfL/8rMBZuwvDAAxIx73ztWt6L7GwaE4KxejWN\ng6EmoYcP+3I+neR+FzX69i38fO3fz/seaOhZvpxGE3tvr7iChp1g9RAmT+YxGzdG37ZDh9gfPP10\n9OcQYRHJ2rXdfeb//o8T1XQlK4vf2y3du7MYYSSsoblqVb6fdRafgTJlaHC/8koWoxs3jkbWatXC\nFwW67z5+NtSYPG4c8z2DjUtNm8aWX330KCe6gwf7tjVrRqNeOB56yDfennVWYSPikSMiP/zA9/PO\no0G5RQven2Tko1oaNgw/HwjkootYxM4ps2bR0BJoTPB4+NtccAH70enTaYSzNTdycuiwWb06cqHc\npUtDF3I8coTKW6dOsc8Xk0F2duJqmwRj6lSfnF5yia/IcLAaLm4ZMcJdsVF/uncPPQ+Nhfx8PmsP\nPcTnDRA55xyRF16gE65MGT7rkcbrrl1FLrww8vWeeYbPdDjl3GILAVauTEW9Zk3+P2kSx8rMTPZ1\nbrjrLvav4ZwYRRlVuqNQukVY+OLee/l3//7sACPRpw8n0sG4777oizsEsmOHrzruW29RwAGRv/6K\n7bwej08JcFq4K5FYCx/AAkihePhhWo4DO4l586gMxcMgEYjHw0JMNWqEV/iuv54KllUU3XheLIcO\n8Tu88Ubw/YcPsx1FzTp48CCLR9Wo4fsdmzcXefzx6J6DvDwqLbaAlC1m9txz7s5jFaht21jcC4jd\nQt6nDwfCYHg8nJxZr/+mTfQ8ZWRQ6XNqGe/RI3yF9SuvFDnuuMgTtc6daQgJhi1UE8qQVNQZPZoV\nq618LV1Kha1MGRa0CUW/fj4ZrVChcJGrESM4oYi1/+7Wja9YGDTInSdCxFfMK1GV4xPJkSMStbey\nTx8qSeGYNo3n79WL///jHzQ8DRrE1UaCPU8jRlCugsnD1KmUt3BGONsHBXqAVq+mUd1N4cRgPP00\nJ7xLl/L+lSol8tJL4T+zbx8nuwAn+ddc49u3fHlhj+6UKZyLAMmrwOzxFBwDnPD443ymnUSG2AKW\npUrxN/Q3xtp51tdf+7YdOiSyapXztjhl5kwqVB07pr4QXCSysqgQJhNrJLNRBW3bxuc+jRnD375T\nJxYCdcqhQxwfEuXxt1E2mZmc7zZowP87dKBuAbCQcqi5qHVgvfNO5GtZR4STYr/nnVdwLPJ42OdW\nrMj+tFKl4AXkwrFpE+ftTlbnSAT5+Xz+hg7lWN2sGefWTiPcVOmOUun2r97durWzcNixYylkwR7+\nCy6Ifyn8Nm18HU+5cvE55/z5rOZcFNi61ff9/vgj9HE//MBj5s3zbTtyhApI3brcZ6swr1kTn8qI\nNuQ70lJehw7RAlq9Oq974onRdcxZWaEncUuWsC1Ol5dJNrZaebhlxJzSvDmfzQkTKPO33OJ+sF25\nku357DN6NI47LvZ2jRlDa28wa/P8+YUnayLulw20Vfw3by68b9cu7nNigBgxgpPrYB7dnj3pzUlX\nbETR5s18ZWfTOxBueSYRytDWrZxonXMOjY+ffMLf7sYbeW+HD4+9fS+/TGPLZ5+FPsa24YwzONEP\nlKnOnUOn24Ri8eLk9BH5+YXlOtb+dvVqtj1S5dtgDBwY3BCen890Kv+ls9y006ZiLV9ecLuVv+7d\nwz/f9vcIVFYHDaKy5bZvCGT/fsp+xYq+qsThIqUsBw/SeH/HHVRuH3+csnbMMfQwlytH+V2yxPeZ\nJk2iW5ElGrZtE9eRUmvXUpF67bXwx/31F7/nsGG8/yeeSGVn9mx6sBs0ELn44tja7wa7NKW/scn2\nBbm5Ii++yDmB/zJUySY3l/Lw6qvJv/avv7KfvvPOyP27U/bs4VKQZctSkXca7WU9vrGmDoWieXOf\noUuEz+mrr/oU2rFjOUaVKycyciSN6kOG+D5/wQUc1530cYcP00j18MPhj9uzR/4X5eHPmjU+Z5eN\nFnbLmDE0MASb6ySKjRv57J9wAtt+0km8jzfdxDliKIdqIKp0R6l0Dxrks55VruxsrU87uM2c6du2\nYYPII48wlOzxx101ISK7djHE5Pjj4zMhLIpMnhw6D82Sk8OH/Mor2QmtXctJQOnStFQ3bEjrW58+\n/H2aNGGHEkuo6EkniVx+ubNjbY7sq69ygIrGY9O+feiJ9kcfyf88t0WV5csZ9hgrzz7Le2gMc4+i\nWRrN42EIWYUK9MJ37Bh7u+xyL4Hrf4vQyFKjhrNwrXDs3cu+qF27wkqbzQN0sjbp8uW8f4GeL5vG\n8PbbsbUzlVgFzd8L4na91j/+oKHVnqNqVRoq4iG/R44wQqZUKS5t58/y5Rx3jCn4HR591HfM5s00\n7LoNtc7JoefOaVRIbi77yA8+cH6N/HwalitXZuj1+PHst+rX93mLo/FGxZI+deONhXOnx4zxrfnb\noQOjxXbscHfegwcpW23a+CaGR45wbOnQIfL39HhYhyIz0zcx3buXfVus6QeW9et5vrPOEtdRDqtX\n01AM8P7ddx/H1sOHC/e5N9zA9I1kYA2Ybh0DrVpxfhAOO05bD98PP4g0asTnsWZN5ucHGlkSzZAh\nlJHWrTnnKFOGxgD729jXpZcy9ahfPyoNgwaFN+zFi02bfAbs4oSti3Dnnc4Ub2t0T1RUws8/R/ZS\nW+dG6dI+udi71xch6Kbu0eWXh645YZk9m9fwr7FjWbPGV7cmGvbu5Zw+WRG3NnWkenWOGd99V/B3\nf+UVjtlOQt5V6Y5S6bZea2tZjeTRFOGPdMYZnMQfOMDciFq1aH0655zQeZbxoKiHICWa115jx2I7\nG2N86+I++aRve9++DBWpUIGd5JNP8rdygy2+5dTanpfHvHOAg2Y0uSrDh9MDEux3vvHG+KUupAO5\nubF/15UrmQM2eLDIf/4Te5v27mWHXbt2wZzz339nlEKkfEqnfP45w52M8VmYbahq377O70v79uyr\n/Iv8XXstJ3SxGgdSSX4+J5wXXUSlNhYPyDffUPF0Gx4Xibw8TmoqVfK179dfKT+lS9ODtW0bFZxh\nw9hXbd3Kz3XtSqu7WyVRhL93z56RUyn27+dxts9s354G6HvuoWd21iwqJoH92Lhx8r98Q9sXt2zJ\naKPjjuM5qlRhutb69VRqJk/m8zJ3bsH77O+RsVFF0Xh/hw/3FU0U8U2mr7mGkSexyPrUqeyTs7Ko\nOHft6k4hzMmhMlW/Pp/befP4eTdhrZE47TSeMxqleMOG0IVh/Zk4kdfYvt39NdxiDcxu5d+GjR9z\nDO9JsJBwK2f+YejW+HTVVRwzks2hQ+wPBg6kQef++9lPdOtGOduyhcpUZqbPQHLddTQqAyJPPJHY\n9v30E6+zcGFir5MKnnqK4+zAgeFl+8032Zefd17y2haKefMov7Y+0+efR1cs1jqIDh3i3CbYvOKO\nO6jbxJqaF4qbb6azwu38PBpsvaBQha7Xr+f+Dz6gkXXChNBzrYQq3QBuAbAOwGEAPwJoHeH4rgAW\nADgC4HcAg4Mc0xfAb95z/gLgwliuG63SbXMbJ0yQoGFkobD5YTYvaODA9CiGURxYupRegqlTC1vZ\ntmzhZDE/X+Tdd9+VXbvoaShThqE306Yxj9XJxO6119ghuVGe7WSvUSN338livT3+YnzgANtSujQn\nFUr0vBuuQplDNm3yKUV5efR81a7N3zyeIYD5+fSWZmXx7/79OdlyU/hs/nxO3po08RWIbN48eWGi\n6UI85CIYe/ZQGa1UiV6qihUZBh84udu5k4pq+/aUrYyM6FepeO45fr5aNV7zttsYMhfopbKK/qef\nUuEYPJhGgkDvWuXKPu+zzbEcMYL/r17ti/pYtox1LIYOpfJi84YDX2XK0Cvbsyfvy9ChfIZGj6bx\nOhruv59FxUTY/598Mo0PsRjt/GXCepMBGtvdRjHZIlCrVvmU13jm3T/6KO9pvCsq+7NpE8egVq0Y\nPbZyJWUmK4uT5ipV6H2tWZMRf507R2/oHDeOE323v19uLovQjh/PsPu2bQsaXL7+mn3h8cdH165E\n9RPBCBYivGtXwVBcj4fPT9myjLSaNYvP4fLlNOosWsTfKVZZe+45/vbJUIxSwcSJPs9x/fpUsP3x\neDjeX3xx4UjDZMpEIB4Pn7+776bxGXBngLYRJc2b06AzcCDHIsuUKez3nEQAR8u6dbx2t26JDTM/\ncsS3kkm463TowP6heXP+5v4OC38SpnQDuNyrPA8C0AjAKwB2A6gR4vhsAAcAPAHgVK/inAugm98x\nHbzbhnuPGQ0gB0CTGK4bldK9YoVvMnD22c47eY+HE4umTZ1ZiZXk09OvxOTnn3PCa3/runVZwMFa\ntW2u5xdfMJT/zz/pDTz/fHfXzMmhcu+fd+6Go0c5Eb35Zg6g//0vJ+nGcJIaaxG9kk7POJUdtZb/\nL77w5eQloiiZXX5qzRp626LJl1+xgopTrVpURtI9tDwRxEsugvHHHyzWmZXF6sqhUiVmzKB3rkKF\n6Kr++7NiBb2/nTvTGARwYn7ddTTa7NtHmRg5Mvjn//qLk/cffqDMtGxJWa9Th6GtTsbJ3bs5Rk6a\nRI/lxo18Rh58kAakHj0YzQFQ0e/SJfplfMaOZZjiww/Ty9m2bewKaKBMfPstQ9SjUeT376dx/sUX\n+btkZ8fWtlQxd27Bgpnlyon8/e80Bj/2GKMkHn2UkWU26uu559zNkQ4doszFWohw7lwqDI88QmP8\nmDFUrE4/PfplEhPZT0TLwYNUJgKNZf6vjAz2BbfcwpUb3PK3v9GoU5zZajOypQAAFGlJREFUupV9\nVd++vGdZWZyHHTxIJwhAp0ggqZaJfv1ojO/alf20G/Lz2Xdedx2NlOXKUY6mTuWznJHBSuiJjoqb\nOpXzE6epnOFYvJgG5XHjaGR7+mmmnpYtS4NvpLSeVat4Txs3Dl8fI5FK948AJvj9bwBsAnBniOMf\nB7AkYNt7AD73+/99AJ8EHDMXwIsxXDcqpTsvj9ba55+nwqQUHwI7w7w8ToBnz6ZHpnp1WtiaNuVE\nN3Cgqlkz+rV6Y+Gqqwq2o3nz6AZKpTDxGiA9HiozF19M5aFhw8SE/a9ZQxmw4aPRKvaLF9MTMmIE\nvUDxKDJYnEj1xCnR7N5NhRRg/9KlC42QTrwi8+ZxQgRQsY13vuuvv/oKYV52WXTneO89fr58eYa9\nx8M4GW+Z6NiRdRoaNozP5DJVTJlCY/RrrxX0igXi8XAyb8exJk0YeTFyJI1Qo0cXHNcOHaJh5vLL\nOUGOdnlHf0aMKBhhcf310dUHsRTlfiI3l/387NnMW1+wgM/uzJks7Ni7N4095cpFDkHet49jzRNP\nsEZOuXLJr1yeKvLz6TW+9VbKTbNmNAZWrRq83keqZcKuUQ/4Ui2jZds2OptsnZQ770zeXGHcOD6j\n0aRUiTD8/Z57GPFkDYL2vgwYQPmNZ0qPU6U7Ey4wxpQG0BLAGLtNRMQYMwNA+xAfawdgRsC2LwGM\n9/u/PYBxQY7pFcN1o6JUKeDNN+N5RqWoUqoUUL8+Xx06AHv2AK+8AmzcCJx0El8nnwysWAH8+isw\nbBhQrVry2/nqq8DddwOlSwPlygEnnAAYk/x2KKExBhg5Ehg8mP9PnJiY3yg7G7j8csroa68Bp58e\n3XlOO40vpWRStSpw333A7t3A+PHs56ZMAerVi/zZ1q2BLVuAJUuAmjWB44+Pb9uaNgW++gqYNg24\n5JLoznHFFfxs+fLxbVs8uesuYMgQ4OhR/hbpSq9efEXCGODll4GbbgIWLQJ+/hn4/Xf2lXl5wJEj\nwAMPAC1aAGXKAAsXAh4Px72XXgJOPTX2tj7wALB9O/DXX8Drr6dmPE8WmZmh+/guXYAbbuA9v/xy\noHdv4I03+CxnZvKeZ2YCxx4LrFwJDBoE7N3LzzZsyM8OG5a875JKMjKAvn356tIFmDCBc8Xnn+d9\nKmpceinnB6tWsb2xUKsW8OmnwKRJwD33ABUqxKeNThg0iHOq559n/7JkiU8m8/L4d9mynMfTz0p5\ntv3G7NnA3LlA584cS5o0AT78kJ+JdlyJB66UbgA1AJQCsC1g+zYwLDwYWSGOr2SMKSsiOWGOyYrh\nuoriiqpVqdwG0qIF0K9f8ttjKV8eaNYsdddXnDFoEBWSlSs5iUkEGRnA++8n5txKyePJJ4FrrgEa\nN6ZsOSUjI3qDjxMaNeIrFoqywg0APXsC69cD+/bF33BRVMnIAM44g6+hQwvuy80Fnn4a2LABOHwY\nGDgQqFOHfWp2dnyuX7Ei8NZb8TlXcaBcOeCDD4COHYH+/UMf1707MGoUUKVK7M9lOnPZZXwVderW\n5SseNG0KjBkT+bh4U6MG51QPPcSXm8+VK0dl/KOPgIsu8u3r2zf+7XSLW6U7nSgHAL/99luq26EU\nEfbt24eFCxemuhlKESIRMnHCCbS2KulLSesrFi9OdQuKPomUiW2B7oQSSrduhbft3s1XUaS49BMv\nvcTolfz8gq+DB2koadGCnsVDh3Rsi0RxkYmiwDXXUOkvU4aGOhFg/356qz0eRgl5PDzWGCraNWoU\njDJM1k/hp2uWC3ecW6V7J4B8ALUDttcGsDXEZ7aGOH6/18sd7hh7zmiumw0AAwYMCLFbKYm0bNky\n1U1QihgqE0owVC6UQFQmlEBUJpRAVCZKNNkA5oTa6UrpFpFcY8wCAOcC+AQAjDHG+/+zIT42F8CF\nAdvO9273PybwHN3sMVFe90sAVwH4A6x6riiKoiiKoiiKoijxohyocH8Z7iAjNgPdIcaYfgDeBHAj\ngHkAbgdwGYBGIrLDGDMWwHEiMth7fDaApQBeBPAvUFF+BsBFIjLDe0x7ADMBjAQwFcCVAO4Gq8At\nd3JdV19CURRFURRFURRFUZKA65xuEfm3MaYGuJZ2bQCLAVzgp/hmAajnd/wfxpgeYLXyv4PLfF1j\nFW7vMXONMf0BPOp9rQLQyyrcDq+rKIqiKIqiKIqiKEUK155uRVEURVEURVEURVGc4WKREEVRFEVR\nFEVRFEVR3KBKt6IoiqIoiqIoiqIkCFW6FUUplnhXOFAURVEURVGUlKJKt5L2GGMyvO+lUt0WpWhg\njKkMoJTf/6qAKzDG1DLG1DTGlPH+r2NgCccY08AY0y3V7VCKDsaYpsaYUcaY+qlui1I0MMacaox5\n1RhzVqrboqQvOuFQ0hZjTGljzIsAXvFu8qSyPUrq8crECwA+B/C5MeZ+Y0wp0YqRJRqvXLwMYBaA\nTwF8YowpKyLaZ5RgjDEtAPwO4D1VsBRjTBljzL/AZW6rANiS4iYpKcYYk2GMGQ+umFQRQKUUN0lJ\nY1TpVtISY0xbADPAtdoHG2M6ioiot7vk4vVWLQfQFMCTADYCuArAg9796u0ugRhjLgPwG4BGAG4C\n8E8ADQGMS2W7lCJBGQBfAsgFcGeK26KkEGPMUAA7AZwK4DQRuV1Ejnr36dhRcrkQQGsA3UXkShH5\nzO5QuVDcokq3kq60A9dzHwx6rsYBgIjkp7JRSmowxlQC0A+cQHcTkSmggvU+gNbGmPLq7S6xdAXw\nLoDzRORbEXkNwPcAclLaKqUocCaAPaBx7npjTJsUt0dJHdcA2ASgh4gsNcacYYw5zxiTDRpnVMkq\nmVwLYLGIfGeM6WKMedgYc7Uxpr7OKRS3qNKtpBV+OZgfAXhaRKYBeBXAScaYa7zHZKaqfUrKMAB+\nAPC6iOQaY4zXS3EMgGNE5JBOmEoWflEvjwB4TUTyvNvrA2gO4E9vxIxScskBsF5EvgEwH8Ao4H9G\nPKUE4DdfGAGgLIC/G2M+BvAhgGdBA90LAKBKVsnCGFMRQA0AXxtj7gON+M0BPARghjGmZyrbp6Qf\nqnQrRR5jzEXed2NzMEVkk4gs9x7yM9gZjvLm7+apglW88ZOJDAAQkX0i8paILPYeYvu2ygDWeo/R\nCVMxJ6CvyAcAEdkqIhu9228DsA7AIQA9AUzzFkwqm6o2K4nFXyaC7D4TQAXv31cB6G6MmQbgS2NM\noyQ1UUkyAf1Envd9LoDvAIwEox8uBWXiLgCDjDH/Zz+TomYrCSRYPyEifwEoDXq7TwHQB0xprA/O\nK4ZqP6G4QZVupchijOlhjNkE4DNjTAdvznahAU9EdgF4B8ARAI/ZjyexqUqSCCITnhAVqG2BrDNA\nD7hOlooxTvsKAPsBdAFwloh0BXAbOKnOSl5rlWQQTib8ZKMWgCnev88FPd/nAnhKRFYkvdFKQgkj\nE3YMuQtMVbtXRBaLyCIReRecV9wFqPG2uBFKJvz6iFfBvO62AFaLSJ5XBh7xbquampYr6Ygq3UqR\nxBjTCcCtAP4L4AsAE4CwA95SsHO8zptr4zHGdNUwweJDGJkoVIHaO3BmAzgJXqXbu+0k77m07ysm\nOOkr7ATKGw3xvd++hWC+5ilJbbSSUBzIhJ1Q54BezHkAxnhfBwBkJ7O9SuIJJxMiku/1du8AMEZE\nNgd8fCMAMcY0TGqjlYQSQSZsX2EjIPLgtwwpmI5SEcDxSWuwkvboxFMpUvgpQ9sATAfwNID7ATTx\ny9kuJLcichjAxwAWAfi3MeZnMO+7WjLarSSOaGUCQHcAG0Rkpbcozk8AfjTGZOpSUemPG7kIY6zr\nDeAbeA0zSnrjVCa8RtljwOV/egCYB+AMEXkEwOMAnvQa7ZQ0x4VMCACIyKEgp2kLYJaIrEpCk5UE\n41AmrIL9O4BnAJwM4EZjjFWyLwGdPbOS1W4l/TEaKaMUBYwxp4GhOwf9tpXyWqAzwfCuQQDqiUjQ\nqsPGmGYAJoGFLl4C8L8lP5T0I1qZ8HosxBjzLBg2vAnA/wF4A8AtoeRHSQ9i7SuMMSeAeXp3A7gI\nwD0i8paVm+R8CyWeuJUJv32tARz0qw8Cb37/3wGMU+Nc+hKHfqI+6Nm8F8A54NjxufYT6UsU/USG\n7QMM64HcDeAvcGnS88GoiDFJ/yJK2qKebiWlGGMuNcZsBL3Si40xdxtjKnt3e7wDXB5YPfQIgEe9\nnzMB5+kE4DOwQFJDEblFFe70JFaZ8CrcpUBL9GVgXndzEblWFe70JR59hTHmFNAAMxP0XJwtIm8B\nmquZjkQrExYRme+vcHu35YjIk6pwpydx6idOBfAPMLT4JAAXiMjngPYT6Uis/QQAiMhzYCG1CQBW\nADhTFW7FLerpVlKG4Zqob4Fe6TlggaNRAJ4H8LiI7POzQhoAN4JLeJwiIuuMMWUAlBGRA8aY4wCc\nICI/pubbKPEgTjKRCRZSux3AAhGZnorvosSPOMhFWQAC5uWdBeCoiMxJxXdR4kO8+grxLieoylT6\nE8d+Ih8sqHdYRL5PxXdR4kOc+omywkrmihIT6ulWko6fRflMcB3lf4nIzyIyDsBYMJRrMACIb9kf\nAfABmHs33hhzJoBPAfT2hgD9qQp3+hJHmfgMQB8ROSIiY1XhTm/i3Ff08+6eqQp3+hJnmeijCnf6\nk4B+wiMi01XhTl/iLBO9AqMrFSUaVOlWko7fBOdEsEhFvt/u5wGsBtDDeCuFGl8xpN0AXgPDhucD\nOArgIw0DTH/iKBM5ACYnqdlKgom3XKhylf4kYPxQmUhztJ9QAtF+QimKqNKtJBxjTDdjzLPGmGHe\nUB/LbACd4V0j1xvi8xeA/4BVxzsBXBLKGFPGGHMzgH+C1SJbiEhPYdVyJc1IsEwEqz6rpAEqF0og\nOn4ogWg/oQSi/YSSDqjSrSQMY0wdY8ynAN4BO7ehAKb7dYjTAfwB4C7/z4nIx2B14SZ+m6uCa+le\nLSJdRWRZgpuvJACVCSUYKhdKICoTSiAqE0ogKhNKOqGF1JSEYIwpD+BFAOUAjBSRdd7tPwFYLiJX\nG1aY7g/gTQCd/fMsjTEfASgnIj2S3nglIahMKMFQuVACUZlQAlGZUAJRmVDSDfV0KwnBG6KVA+BN\nYQXITO+uzwE09h6TD+DfAD4G8JoxpjNAyyWAbADvJbvdSuJQmVCCoXKhBKIyoQSiMqEEojKhpBvq\n6VYShjGmtIjkev/O8ObMTAJwUESuN4ZVY40x5QBMAzvJRQBagOFA/URkc6rar8QflQklGCoXSiAq\nE0ogKhNKICoTSjqhSreSVIwxPwB4TUTeMsYYABnC9RFrg51gWwDrRGRSShuqJA2VCSUYKhdKICoT\nSiAqE0ogKhNKUUWVbiVpGGNOAjAHQA8RWeDdVkZEjqa2ZUqqUJlQgqFyoQSiMqEEojKhBKIyoRRl\nNKdbSTheSyPApRkO+HWEowBMMMbUSlnjlJSgMqEEQ+VCCURlQglEZUIJRGVCSQcyIx+iKLEhvnCK\nNgA+MsZ0A/AqgPIABorI9pQ1TkkJKhNKMFQulEBUJpRAVCaUQFQmlHRAw8uVpOAtYrEUwMkAjgIY\nJSKPp7ZVSipRmVCCoXKhBKIyoQSiMqEEojKhFHVU6VaShjHmKwCrAAwXkSOpbo+SelQmlGCoXCiB\nqEwogahMKIGoTChFGVW6laRhjCnlXTNRUQCoTCjBUblQAlGZUAJRmVACUZlQijKqdCuKoiiKoiiK\noihKgtDq5YqiKIqiKIqiKIqSIFTpVhRFURRFURRFUZQEoUq3oiiKoiiKoiiKoiQIVboVRVEURVEU\nRVEUJUGo0q0oiqIoiqIoiqIoCUKVbkVRFEVRFEVRFEVJEKp0K4qiKIqiKIqiKEqCUKVbURRFUUoI\nxphvjTFPp7odiqIoilKSUKVbURRFUZRCGGO6GGM8xphKqW6LoiiKoqQzqnQriqIoihIMA0C874qi\nKIqiRIkq3YqiKIpSDDHGlDfGvG2M+csYs9kYMzxg/wBjzHxjzH5jzBZjzCRjTE3vvvoAvvEeuscY\nk2+M+Zd3nzHGjDTGrDXGHDLGLDLGXJrcb6coiqIo6YMq3YqiKIpSPHkKQGcAPQGcD6ArgDP99mcC\nuA9ACwC9ANQH8IZ330YAVpFuCKAOgP/z/n8PgAEArgfQBMB4ABONMZ0T9D0URVEUJa0xIpLqNiiK\noiiKEkeMMccC2AWgv4hM9m6rCmATgFdEZHiQz7QC8BOAiiJyyBjTBfR2VxWR/d5jygDYDeBcEfnJ\n77OvAThGRAYk+KspiqIoStqRmeoGKIqiKIoSd04GUBrAPLtBRPYYY1ba/40xLQGMAnAagKrwRb+d\nAGBFiPM2AFAewFfGGP9c79IAFsWt9YqiKIpSjFClW1EURVFKGMaY8gC+ADANQH8AO8Dw8i8AlAnz\n0Qre94sA/BmwLyfOzVQURVGUYoEq3YqiKIpS/FgDIA9AWzCk3IaXnwJgJoBGAKoDGCkim7372wSc\n46j3vZTftuWgcl1fRH5IVOMVRVEUpTihSreiKIqiFDNE5KAx5p8AnjTG7AY92Y8AyPcesgFUqv9u\njHkZQHOwqJo/68Elw3oaYz4HcFhEDhhjngIw3hhTCsAPACoD6Ahgn4hMTPR3UxRFUZR0Q6uXK4qi\nKErx5B8AvgfwCYDp3r8XAICI7AQwGMBlAJYBuBPAHf4fFpE/wZzvxwBsBfCcd/v9AB4GcDfo+Z4G\nhpuvS/QXUhRFUZR0RKuXK4qiKIqiKIqiKEqCUE+3oiiKoiiKoiiKoiQIVboVRVEURVEURVEUJUGo\n0q0oiqIoiqIoiqIoCUKVbkVRFEVRFEVRFEVJEKp0K4qiKIqiKIqiKEqCUKVbURRFURRFURRFURKE\nKt2KoiiKoiiKoiiKkiBU6VYURVEURVEURVGUBKFKt6IoiqIoiqIoiqIkCFW6FUVRFEVRFEVRFCVB\nqNKtKIqiKIqiKIqiKAlClW5FURRFURRFURRFSRD/D788qKzoLGdEAAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7f9aa8b27780>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "goog_train['Original Variance'] = pd.rolling_var(goog_train['close'], 30, min_periods=None, freq=None, center=True)  \n",
    "goog_train['Log Variance'] = pd.rolling_var(goog_train['Natural Log'], 30, min_periods=None, freq=None, center=True)\n",
    "\n",
    "fig, ax = plt.subplots(2, 1, figsize=(10, 5))  \n",
    "goog_train['Original Variance'].plot(ax=ax[0], title='Original Variance')  \n",
    "goog_train['Log Variance'].plot(ax=ax[1], title='Log Variance')  \n",
    "fig.tight_layout()  "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 714,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/png": 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M6kTk+OOOi10y8uBep55iadmy2M88jaLFktzjYC8096Vfz/zK9yE3vPPPBw44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\n4QYG0Itq3UGApF8qQ1dXfJ6FC+3mollIiFhtWfItApXr+Aa3YjKX5yO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Hr51FBzgvepF/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/3rzu3sfmKWJftguusu4L//O/HtLhOztOuufs2hfoul9eurFUvKs5/tBUKRWUi9EbOCx+sWS93s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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7f9aa81f14a8>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# goog_train['Logged First Difference'] = goog_train['Natural Log'] - goog_train['Natural Log'].shift()  \n",
    "# goog_train['Logged First Difference'].plot(figsize=(10, 5))  \n",
    "# goog_train['Logged First Difference'].dropna(inplace=True)\n",
    "goog_train['Logged Second Difference'] = goog_train['Natural Log'] - goog_train['Natural Log'].shift(2)  \n",
    "goog_train['Logged Second Difference'].plot(figsize=(10, 5))  \n",
    "goog_train['Logged Second Difference'].dropna(inplace=True)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 715,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Results of Dickey-Fuller Test:\n",
      "Test Statistic                -9.562051e+00\n",
      "p-value                        2.411284e-16\n",
      "#Lags Used                     2.300000e+01\n",
      "Number of Observations Used    1.725000e+03\n",
      "Critical Value (1%)           -3.434147e+00\n",
      "Critical Value (10%)          -2.567663e+00\n",
      "Critical Value (5%)           -2.863217e+00\n",
      "dtype: float64\n"
     ]
    },
    {
     "data": {
      "text/plain": [
       "<matplotlib.text.Text at 0x7f9aa8117ba8>"
      ]
     },
     "execution_count": 715,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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aWkTMIPumWvm+2k52IzrfV43njflQ+F0RsTQiXlTvgvZxLWSjQb+B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\nKvT/ARxVJ40/v/GsAAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7f9aa817ec88>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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//uHRbVkLW7a0sGlTz0dsmzZN5wc/aKnw/W3gve+9lTVrbmfFivfS2PhPLFjw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\nrkJggg==\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7f9aa81c1fd0>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "#Perform Dickey-Fuller test: To get the right difference based on AIC values. We get the best value 2\n",
    "print('Results of Dickey-Fuller Test:')\n",
    "dftest = adfuller(goog_train['Logged Second Difference'])\n",
    "dfoutput = pd.Series(dftest[0:4], index=['Test Statistic','p-value','#Lags Used','Number of Observations Used'])\n",
    "for key,value in dftest[4].items():\n",
    "    dfoutput['Critical Value (%s)'%key] = value\n",
    "print (dfoutput)\n",
    "    \n",
    "pacf = plot_pacf(goog_train['Logged Second Difference'],lags=20)\n",
    "plt.title(\"PACF Plot of GOOG\")\n",
    "\n",
    "acf = plot_acf(goog_train['Logged Second Difference'], lags=20)\n",
    "plt.title(\"ACF Plot of GOOG\")\n",
    "\n",
    "            \n",
    "            "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 716,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "                             ARIMA Model Results                              \n",
      "==============================================================================\n",
      "Dep. Variable:         D2.Natural Log   No. Observations:                 1749\n",
      "Model:                 ARIMA(2, 2, 0)   Log Likelihood                4533.217\n",
      "Method:                       css-mle   S.D. of innovations              0.018\n",
      "Date:                Mon, 27 Nov 2017   AIC                          -9058.434\n",
      "Time:                        09:51:11   BIC                          -9036.566\n",
      "Sample:                    01-06-2010   HQIC                         -9050.350\n",
      "                         - 12-14-2016                                         \n",
      "========================================================================================\n",
      "                           coef    std err          z      P>|z|      [0.025      0.975]\n",
      "----------------------------------------------------------------------------------------\n",
      "const                 1.023e-05      0.000      0.046      0.963      -0.000       0.000\n",
      "ar.L1.D2.Natural Log    -0.6467      0.023    -28.415      0.000      -0.691      -0.602\n",
      "ar.L2.D2.Natural Log    -0.3065      0.023    -13.472      0.000      -0.351      -0.262\n",
      "                                    Roots                                    \n",
      "=============================================================================\n",
      "                 Real           Imaginary           Modulus         Frequency\n",
      "-----------------------------------------------------------------------------\n",
      "AR.1           -1.0550           -1.4661j            1.8062           -0.3493\n",
      "AR.2           -1.0550           +1.4661j            1.8062            0.3493\n",
      "-----------------------------------------------------------------------------\n"
     ]
    },
    {
     "data": {
      "image/png": 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IQiEioqIIsS0VFRX5LYcgCIIgOBFRUYSIpUIQhIaGdH8UByIqihCxVAiCIAiFiIiKIkQc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GAAAJ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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7f9aa80d6eb8>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# AR Model\n",
    "model = ARIMA(goog_train['Natural Log'], order=(2, 2, 0))  \n",
    "results_AR = model.fit(disp=1)  \n",
    "plt.plot(goog_train['Logged Second Difference'])\n",
    "plt.plot(results_AR.fittedvalues, color='red')\n",
    "plt.title( \"Residual plot\")\n",
    "print(results_AR.summary())"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 717,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "                             ARIMA Model Results                              \n",
      "==============================================================================\n",
      "Dep. Variable:         D2.Natural Log   No. Observations:                 1749\n",
      "Model:                 ARIMA(0, 2, 1)   Log Likelihood                4783.586\n",
      "Method:                       css-mle   S.D. of innovations              0.016\n",
      "Date:                Mon, 27 Nov 2017   AIC                          -9561.172\n",
      "Time:                        09:51:12   BIC                          -9544.772\n",
      "Sample:                    01-06-2010   HQIC                         -9555.109\n",
      "                         - 12-14-2016                                         \n",
      "========================================================================================\n",
      "                           coef    std err          z      P>|z|      [0.025      0.975]\n",
      "----------------------------------------------------------------------------------------\n",
      "const                 1.012e-06   2.57e-06      0.393      0.694   -4.03e-06    6.05e-06\n",
      "ma.L1.D2.Natural Log    -0.9945      0.012    -80.513      0.000      -1.019      -0.970\n",
      "                                    Roots                                    \n",
      "=============================================================================\n",
      "                 Real           Imaginary           Modulus         Frequency\n",
      "-----------------------------------------------------------------------------\n",
      "MA.1            1.0055           +0.0000j            1.0055            0.0000\n",
      "-----------------------------------------------------------------------------\n"
     ]
    },
    {
     "data": {
      "image/png": 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U5LVUHH20b3uniArg+uvhjTeKOIgb7jQQbvDqq4ubtexaKiAnJvr0gSuvLKIs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      "text/plain": [
       "<matplotlib.figure.Figure at 0x7f9aa7fce0f0>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# MA Model\n",
    "model = ARIMA(goog_train['Natural Log'], order=(0, 2, 1))  \n",
    "results_MA = model.fit(disp=-1)  \n",
    "plt.plot(goog_train['Logged Second Difference'])\n",
    "plt.plot(results_MA.fittedvalues, color='red')\n",
    "plt.title(\"Residual plot\")\n",
    "print(results_MA.summary())"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 718,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "                             ARIMA Model Results                              \n",
      "==============================================================================\n",
      "Dep. Variable:         D2.Natural Log   No. Observations:                 1749\n",
      "Model:                 ARIMA(2, 2, 1)   Log Likelihood                4785.171\n",
      "Method:                       css-mle   S.D. of innovations              0.016\n",
      "Date:                Mon, 27 Nov 2017   AIC                          -9560.341\n",
      "Time:                        09:51:13   BIC                          -9533.007\n",
      "Sample:                    01-06-2010   HQIC                         -9550.237\n",
      "                         - 12-14-2016                                         \n",
      "========================================================================================\n",
      "                           coef    std err          z      P>|z|      [0.025      0.975]\n",
      "----------------------------------------------------------------------------------------\n",
      "const                 6.752e-07   1.05e-06      0.641      0.521   -1.39e-06    2.74e-06\n",
      "ar.L1.D2.Natural Log     0.0201      0.024      0.839      0.402      -0.027       0.067\n",
      "ar.L2.D2.Natural Log     0.0370      0.024      1.544      0.123      -0.010       0.084\n",
      "ma.L1.D2.Natural Log    -0.9984      0.003   -324.247      0.000      -1.004      -0.992\n",
      "                                    Roots                                    \n",
      "=============================================================================\n",
      "                 Real           Imaginary           Modulus         Frequency\n",
      "-----------------------------------------------------------------------------\n",
      "AR.1            4.9354           +0.0000j            4.9354            0.0000\n",
      "AR.2           -5.4780           +0.0000j            5.4780            0.5000\n",
      "MA.1            1.0016           +0.0000j            1.0016            0.0000\n",
      "-----------------------------------------------------------------------------\n"
     ]
    },
    {
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CIAjliIiKCsS1VNTVlbYcgiAIgmAjoqICEUuFIAhtDRn+qAxEVFQgYqkQBEEQyhERFRWI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\nKhRFURRFyQQVFYqiKIqiZML/B3SedUq4HXgBAAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7f9aa80cc588>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# ARIMA Model\n",
    "model = ARIMA(goog_train['Natural Log'], order=(2, 2, 1))  \n",
    "results_ARIMA = model.fit(disp=-1)  \n",
    "plt.plot(goog_train['Logged Second Difference'])\n",
    "plt.plot(results_ARIMA.fittedvalues, color='red')\n",
    "plt.title(\"Residual plot\")\n",
    "print(results_ARIMA.summary())"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 719,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": [
    "# Take back to original scale\n",
    "ARIMA_diff = pd.Series(results_AR.fittedvalues, copy=True)\n",
    "ARIMA_diff_cumsum = ARIMA_diff.cumsum()\n",
    "ARIMA_log = pd.Series(goog_train['Natural Log'])\n",
    "ARIMA_log = ARIMA_log.add(ARIMA_diff_cumsum,fill_value=0)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 720,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.text.Text at 0x7f9aa7a3cba8>"
      ]
     },
     "execution_count": 720,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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xkJGaxoAtbwDw+49+D0Dc9HfrbROk+hZrS8FxQEe/n7MAA7wHICJ3A7cANwFD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\nTkSuQmCC\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7f9aa7a47588>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "ARIMA_orig = np.exp(ARIMA_log)\n",
    "plt.plot(goog_train['close'])\n",
    "plt.plot(ARIMA_orig)\n",
    "plt.title('RMSE: %.4f'% np.sqrt(sum((ARIMA_orig-goog_train['close'])**2)/len(goog_train['close'])))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 731,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "                 close  Forecast Values\n",
      "date                                   \n",
      "2016-12-15  797.849976       799.763633\n",
      "2016-12-16  790.799988       803.183634\n",
      "2016-12-19  794.200012       805.635861\n",
      "2016-12-20  796.419983       808.527421\n",
      "2016-12-21  794.559998       811.468309\n",
      "2016-12-22  791.260010       814.277526\n",
      "2016-12-23  789.909973       817.193157\n",
      "2016-12-27  791.549988       820.116799\n",
      "2016-12-28  785.049988       823.039067\n",
      "2016-12-29  782.789978       825.996678\n",
      "2016-12-30  771.820007       828.968948\n",
      "RMSE: 29.2116\n"
     ]
    },
    {
     "data": {
      "text/plain": [
       "<matplotlib.text.Text at 0x7f9aa78d1908>"
      ]
     },
     "execution_count": 731,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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2Sp3eEm3Y+QVwH/AE0Bq/+MCTgWPge326AxPxQWcPsAj4vnNuZch1JgfapuN7fN7C780j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\npG7JZkeSJElSt/T/ALFoU/6wCnR6AAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7f9aa792a2b0>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# Lets test on the test data\n",
    "forecast_log = pd.Series(results_AR.forecast(len(goog_test['close']))[0])\n",
    "forecast = np.exp(forecast_log)\n",
    "goog_test['Forecast Values'] = forecast.values\n",
    "print (goog_test[['close','Forecast Values']])\n",
    "print ('RMSE: %.4f'% np.sqrt(sum((goog_test['Forecast Values']-goog_test['close'])**2)/len(goog_test['close'])))\n",
    "goog_test['Forecast Values'].plot(figsize=(10, 5))\n",
    "goog_test['close'].plot(figsize=(10, 5))\n",
    "plt.title('FORECAST RMSE: %.4f'% np.sqrt(sum((goog_test['Forecast Values']-goog_test['close'])**2)/len(goog_test['close'])))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": []
  }
 ],
 "metadata": {
  "anaconda-cloud": {},
  "kernelspec": {
   "display_name": "Python [conda root]",
   "language": "python",
   "name": "conda-root-py"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.5.2"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 0
}
